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Finding the Third Proportional to 131,080 and 197,267

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Solution

The third proportional to 131,080 and 197,267 is: 296,874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,080 : 197,267 = 197,267 : x
  2. Step 2: Convert to fraction form
    131,080/197,267 = 197,267/x
  3. Step 3: Cross multiply
    131,080x = 197,267 × 197,267
  4. Step 4: Simplify right side
    131,080x = 38,914,269,289
  5. Step 5: Solve for x
    x = 38,914,269,289/131,080
  6. Step 6: Final answer
    x = 296,874.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.