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Finding the Third Proportional to 142,980 and 217,542

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Solution

The third proportional to 142,980 and 217,542 is: 330,987.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,980 : 217,542 = 217,542 : x
  2. Step 2: Convert to fraction form
    142,980/217,542 = 217,542/x
  3. Step 3: Cross multiply
    142,980x = 217,542 × 217,542
  4. Step 4: Simplify right side
    142,980x = 47,324,521,764
  5. Step 5: Solve for x
    x = 47,324,521,764/142,980
  6. Step 6: Final answer
    x = 330,987.00

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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.