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Finding the Third Proportional to 148,802.25 and 223,542

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Solution

The third proportional to 148,802.25 and 223,542 is: 335,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,802.25 : 223,542 = 223,542 : x
  2. Step 2: Convert to fraction form
    148,802.25/223,542 = 223,542/x
  3. Step 3: Cross multiply
    148,802.25x = 223,542 × 223,542
  4. Step 4: Simplify right side
    148,802.25x = 49,971,025,764
  5. Step 5: Solve for x
    x = 49,971,025,764/148,802.25
  6. Step 6: Final answer
    x = 335,821.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.