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Finding the Third Proportional to 155,676 and 241,542

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Solution

The third proportional to 155,676 and 241,542 is: 374,768.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,676 : 241,542 = 241,542 : x
  2. Step 2: Convert to fraction form
    155,676/241,542 = 241,542/x
  3. Step 3: Cross multiply
    155,676x = 241,542 × 241,542
  4. Step 4: Simplify right side
    155,676x = 58,342,537,764
  5. Step 5: Solve for x
    x = 58,342,537,764/155,676
  6. Step 6: Final answer
    x = 374,768.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.