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Finding the Third Proportional to 165,340 and 247,542

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Solution

The third proportional to 165,340 and 247,542 is: 370,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,340 : 247,542 = 247,542 : x
  2. Step 2: Convert to fraction form
    165,340/247,542 = 247,542/x
  3. Step 3: Cross multiply
    165,340x = 247,542 × 247,542
  4. Step 4: Simplify right side
    165,340x = 61,277,041,764
  5. Step 5: Solve for x
    x = 61,277,041,764/165,340
  6. Step 6: Final answer
    x = 370,612.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.