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Finding the Third Proportional to 194,853 and 292,282.50

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Solution

The third proportional to 194,853 and 292,282.50 is: 438,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,853 : 292,282.50 = 292,282.50 : x
  2. Step 2: Convert to fraction form
    194,853/292,282.50 = 292,282.50/x
  3. Step 3: Cross multiply
    194,853x = 292,282.50 × 292,282.50
  4. Step 4: Simplify right side
    194,853x = 85,429,059,806.25
  5. Step 5: Solve for x
    x = 85,429,059,806.25/194,853
  6. Step 6: Final answer
    x = 438,428.25

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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.