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Finding the Third Proportional to 118,331 and 254,704

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Solution

The third proportional to 118,331 and 254,704 is: 548,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,331 : 254,704 = 254,704 : x
  2. Step 2: Convert to fraction form
    118,331/254,704 = 254,704/x
  3. Step 3: Cross multiply
    118,331x = 254,704 × 254,704
  4. Step 4: Simplify right side
    118,331x = 64,874,127,616
  5. Step 5: Solve for x
    x = 64,874,127,616/118,331
  6. Step 6: Final answer
    x = 548,242.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.