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Finding the Third Proportional to 137,222 and 292,876

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Solution

The third proportional to 137,222 and 292,876 is: 625,091.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,222 : 292,876 = 292,876 : x
  2. Step 2: Convert to fraction form
    137,222/292,876 = 292,876/x
  3. Step 3: Cross multiply
    137,222x = 292,876 × 292,876
  4. Step 4: Simplify right side
    137,222x = 85,776,351,376
  5. Step 5: Solve for x
    x = 85,776,351,376/137,222
  6. Step 6: Final answer
    x = 625,091.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.