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Finding the Third Proportional to 256,137 and 411,542.50

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Solution

The third proportional to 256,137 and 411,542.50 is: 661,236.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,137 : 411,542.50 = 411,542.50 : x
  2. Step 2: Convert to fraction form
    256,137/411,542.50 = 411,542.50/x
  3. Step 3: Cross multiply
    256,137x = 411,542.50 × 411,542.50
  4. Step 4: Simplify right side
    256,137x = 169,367,229,306.25
  5. Step 5: Solve for x
    x = 169,367,229,306.25/256,137
  6. Step 6: Final answer
    x = 661,236.87

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.