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Finding the Third Proportional to 217,610.30 and 332,854.95

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Solution

The third proportional to 217,610.30 and 332,854.95 is: 509,132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,610.30 : 332,854.95 = 332,854.95 : x
  2. Step 2: Convert to fraction form
    217,610.30/332,854.95 = 332,854.95/x
  3. Step 3: Cross multiply
    217,610.30x = 332,854.95 × 332,854.95
  4. Step 4: Simplify right side
    217,610.30x = 110,792,414,618.99
  5. Step 5: Solve for x
    x = 110,792,414,618.99/217,610.30
  6. Step 6: Final answer
    x = 509,132.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.