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Finding the Third Proportional to 165,763.13 and 250,023.38

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Solution

The third proportional to 165,763.13 and 250,023.38 is: 377,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,763.13 : 250,023.38 = 250,023.38 : x
  2. Step 2: Convert to fraction form
    165,763.13/250,023.38 = 250,023.38/x
  3. Step 3: Cross multiply
    165,763.13x = 250,023.38 × 250,023.38
  4. Step 4: Simplify right side
    165,763.13x = 62,511,688,046.39
  5. Step 5: Solve for x
    x = 62,511,688,046.39/165,763.13
  6. Step 6: Final answer
    x = 377,114.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.