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Finding the Third Proportional to 165,672.38 and 357,781.13

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Solution

The third proportional to 165,672.38 and 357,781.13 is: 772,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,672.38 : 357,781.13 = 357,781.13 : x
  2. Step 2: Convert to fraction form
    165,672.38/357,781.13 = 357,781.13/x
  3. Step 3: Cross multiply
    165,672.38x = 357,781.13 × 357,781.13
  4. Step 4: Simplify right side
    165,672.38x = 128,007,333,406.27
  5. Step 5: Solve for x
    x = 128,007,333,406.27/165,672.38
  6. Step 6: Final answer
    x = 772,653.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.