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Finding the Third Proportional to 209,773.13 and 332,695.69

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Solution

The third proportional to 209,773.13 and 332,695.69 is: 527,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,773.13 : 332,695.69 = 332,695.69 : x
  2. Step 2: Convert to fraction form
    209,773.13/332,695.69 = 332,695.69/x
  3. Step 3: Cross multiply
    209,773.13x = 332,695.69 × 332,695.69
  4. Step 4: Simplify right side
    209,773.13x = 110,686,420,481.10
  5. Step 5: Solve for x
    x = 110,686,420,481.10/209,773.13
  6. Step 6: Final answer
    x = 527,648.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.