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Finding the Third Proportional to 131,267 and 280,526

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Solution

The third proportional to 131,267 and 280,526 is: 599,502.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,267 : 280,526 = 280,526 : x
  2. Step 2: Convert to fraction form
    131,267/280,526 = 280,526/x
  3. Step 3: Cross multiply
    131,267x = 280,526 × 280,526
  4. Step 4: Simplify right side
    131,267x = 78,694,836,676
  5. Step 5: Solve for x
    x = 78,694,836,676/131,267
  6. Step 6: Final answer
    x = 599,502.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.