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Finding the Third Proportional to 158,074 and 281,061

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Solution

The third proportional to 158,074 and 281,061 is: 499,736.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,074 : 281,061 = 281,061 : x
  2. Step 2: Convert to fraction form
    158,074/281,061 = 281,061/x
  3. Step 3: Cross multiply
    158,074x = 281,061 × 281,061
  4. Step 4: Simplify right side
    158,074x = 78,995,285,721
  5. Step 5: Solve for x
    x = 78,995,285,721/158,074
  6. Step 6: Final answer
    x = 499,736.11

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.