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Finding the Third Proportional to 169,686.14 and 351,116.02

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Solution

The third proportional to 169,686.14 and 351,116.02 is: 726,532.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,686.14 : 351,116.02 = 351,116.02 : x
  2. Step 2: Convert to fraction form
    169,686.14/351,116.02 = 351,116.02/x
  3. Step 3: Cross multiply
    169,686.14x = 351,116.02 × 351,116.02
  4. Step 4: Simplify right side
    169,686.14x = 123,282,456,428.38
  5. Step 5: Solve for x
    x = 123,282,456,428.38/169,686.14
  6. Step 6: Final answer
    x = 726,532.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.