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Finding the Third Proportional to 137,279.25 and 201,463.88

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Solution

The third proportional to 137,279.25 and 201,463.88 is: 295,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,279.25 : 201,463.88 = 201,463.88 : x
  2. Step 2: Convert to fraction form
    137,279.25/201,463.88 = 201,463.88/x
  3. Step 3: Cross multiply
    137,279.25x = 201,463.88 × 201,463.88
  4. Step 4: Simplify right side
    137,279.25x = 40,587,692,930.02
  5. Step 5: Solve for x
    x = 40,587,692,930.02/137,279.25
  6. Step 6: Final answer
    x = 295,657.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.