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Finding the Third Proportional to 138,281.50 and 301,591

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Solution

The third proportional to 138,281.50 and 301,591 is: 657,767.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,281.50 : 301,591 = 301,591 : x
  2. Step 2: Convert to fraction form
    138,281.50/301,591 = 301,591/x
  3. Step 3: Cross multiply
    138,281.50x = 301,591 × 301,591
  4. Step 4: Simplify right side
    138,281.50x = 90,957,131,281
  5. Step 5: Solve for x
    x = 90,957,131,281/138,281.50
  6. Step 6: Final answer
    x = 657,767.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.