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Finding the Third Proportional to 147,544 and 223,542

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Solution

The third proportional to 147,544 and 223,542 is: 338,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,544 : 223,542 = 223,542 : x
  2. Step 2: Convert to fraction form
    147,544/223,542 = 223,542/x
  3. Step 3: Cross multiply
    147,544x = 223,542 × 223,542
  4. Step 4: Simplify right side
    147,544x = 49,971,025,764
  5. Step 5: Solve for x
    x = 49,971,025,764/147,544
  6. Step 6: Final answer
    x = 338,685.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.