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Finding the Third Proportional to 131,825 and 204,291

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Solution

The third proportional to 131,825 and 204,291 is: 316,592.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,825 : 204,291 = 204,291 : x
  2. Step 2: Convert to fraction form
    131,825/204,291 = 204,291/x
  3. Step 3: Cross multiply
    131,825x = 204,291 × 204,291
  4. Step 4: Simplify right side
    131,825x = 41,734,812,681
  5. Step 5: Solve for x
    x = 41,734,812,681/131,825
  6. Step 6: Final answer
    x = 316,592.55

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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.