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Finding the Third Proportional to 131,791 and 204,248

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Solution

The third proportional to 131,791 and 204,248 is: 316,540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,791 : 204,248 = 204,248 : x
  2. Step 2: Convert to fraction form
    131,791/204,248 = 204,248/x
  3. Step 3: Cross multiply
    131,791x = 204,248 × 204,248
  4. Step 4: Simplify right side
    131,791x = 41,717,245,504
  5. Step 5: Solve for x
    x = 41,717,245,504/131,791
  6. Step 6: Final answer
    x = 316,540.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.