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Finding the Third Proportional to 245,118 and 337,542

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Solution

The third proportional to 245,118 and 337,542 is: 464,815.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,118 : 337,542 = 337,542 : x
  2. Step 2: Convert to fraction form
    245,118/337,542 = 337,542/x
  3. Step 3: Cross multiply
    245,118x = 337,542 × 337,542
  4. Step 4: Simplify right side
    245,118x = 113,934,601,764
  5. Step 5: Solve for x
    x = 113,934,601,764/245,118
  6. Step 6: Final answer
    x = 464,815.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.