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Finding the Third Proportional to 231,860 and 368,542

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Solution

The third proportional to 231,860 and 368,542 is: 585,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,860 : 368,542 = 368,542 : x
  2. Step 2: Convert to fraction form
    231,860/368,542 = 368,542/x
  3. Step 3: Cross multiply
    231,860x = 368,542 × 368,542
  4. Step 4: Simplify right side
    231,860x = 135,823,205,764
  5. Step 5: Solve for x
    x = 135,823,205,764/231,860
  6. Step 6: Final answer
    x = 585,798.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.