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Finding the Third Proportional to 165,748 and 363,755

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Solution

The third proportional to 165,748 and 363,755 is: 798,306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,748 : 363,755 = 363,755 : x
  2. Step 2: Convert to fraction form
    165,748/363,755 = 363,755/x
  3. Step 3: Cross multiply
    165,748x = 363,755 × 363,755
  4. Step 4: Simplify right side
    165,748x = 132,317,700,025
  5. Step 5: Solve for x
    x = 132,317,700,025/165,748
  6. Step 6: Final answer
    x = 798,306.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.