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Finding the Third Proportional to 194,710.50 and 292,065.75

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Solution

The third proportional to 194,710.50 and 292,065.75 is: 438,098.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,710.50 : 292,065.75 = 292,065.75 : x
  2. Step 2: Convert to fraction form
    194,710.50/292,065.75 = 292,065.75/x
  3. Step 3: Cross multiply
    194,710.50x = 292,065.75 × 292,065.75
  4. Step 4: Simplify right side
    194,710.50x = 85,302,402,323.06
  5. Step 5: Solve for x
    x = 85,302,402,323.06/194,710.50
  6. Step 6: Final answer
    x = 438,098.63

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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.