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Finding the Third Proportional to 169,948.13 and 250,224.19

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Solution

The third proportional to 169,948.13 and 250,224.19 is: 368,419.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,948.13 : 250,224.19 = 250,224.19 : x
  2. Step 2: Convert to fraction form
    169,948.13/250,224.19 = 250,224.19/x
  3. Step 3: Cross multiply
    169,948.13x = 250,224.19 × 250,224.19
  4. Step 4: Simplify right side
    169,948.13x = 62,612,144,010.04
  5. Step 5: Solve for x
    x = 62,612,144,010.04/169,948.13
  6. Step 6: Final answer
    x = 368,419.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.