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Finding the Third Proportional to 131,264 and 268,060

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Solution

The third proportional to 131,264 and 268,060 is: 547,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,264 : 268,060 = 268,060 : x
  2. Step 2: Convert to fraction form
    131,264/268,060 = 268,060/x
  3. Step 3: Cross multiply
    131,264x = 268,060 × 268,060
  4. Step 4: Simplify right side
    131,264x = 71,856,163,600
  5. Step 5: Solve for x
    x = 71,856,163,600/131,264
  6. Step 6: Final answer
    x = 547,417.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.