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Finding the Third Proportional to 195,949.13 and 293,164.31

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Solution

The third proportional to 195,949.13 and 293,164.31 is: 438,610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,949.13 : 293,164.31 = 293,164.31 : x
  2. Step 2: Convert to fraction form
    195,949.13/293,164.31 = 293,164.31/x
  3. Step 3: Cross multiply
    195,949.13x = 293,164.31 × 293,164.31
  4. Step 4: Simplify right side
    195,949.13x = 85,945,314,123.60
  5. Step 5: Solve for x
    x = 85,945,314,123.60/195,949.13
  6. Step 6: Final answer
    x = 438,610.35

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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.