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Finding the Third Proportional to 165,537 and 359,883

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Solution

The third proportional to 165,537 and 359,883 is: 782,397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,537 : 359,883 = 359,883 : x
  2. Step 2: Convert to fraction form
    165,537/359,883 = 359,883/x
  3. Step 3: Cross multiply
    165,537x = 359,883 × 359,883
  4. Step 4: Simplify right side
    165,537x = 129,515,773,689
  5. Step 5: Solve for x
    x = 129,515,773,689/165,537
  6. Step 6: Final answer
    x = 782,397.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.