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Finding the Third Proportional to 169,948.13 and 261,414.84

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Solution

The third proportional to 169,948.13 and 261,414.84 is: 402,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,948.13 : 261,414.84 = 261,414.84 : x
  2. Step 2: Convert to fraction form
    169,948.13/261,414.84 = 261,414.84/x
  3. Step 3: Cross multiply
    169,948.13x = 261,414.84 × 261,414.84
  4. Step 4: Simplify right side
    169,948.13x = 68,337,720,532.84
  5. Step 5: Solve for x
    x = 68,337,720,532.84/169,948.13
  6. Step 6: Final answer
    x = 402,109.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.