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Finding the Third Proportional to 165,687 and 354,594

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Solution

The third proportional to 165,687 and 354,594 is: 758,882.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,687 : 354,594 = 354,594 : x
  2. Step 2: Convert to fraction form
    165,687/354,594 = 354,594/x
  3. Step 3: Cross multiply
    165,687x = 354,594 × 354,594
  4. Step 4: Simplify right side
    165,687x = 125,736,904,836
  5. Step 5: Solve for x
    x = 125,736,904,836/165,687
  6. Step 6: Final answer
    x = 758,882.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.