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Finding the Third Proportional to 146,508 and 281,344

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Solution

The third proportional to 146,508 and 281,344 is: 540,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,508 : 281,344 = 281,344 : x
  2. Step 2: Convert to fraction form
    146,508/281,344 = 281,344/x
  3. Step 3: Cross multiply
    146,508x = 281,344 × 281,344
  4. Step 4: Simplify right side
    146,508x = 79,154,446,336
  5. Step 5: Solve for x
    x = 79,154,446,336/146,508
  6. Step 6: Final answer
    x = 540,273.88

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.