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Finding the Third Proportional to 181,544 and 281,748

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Solution

The third proportional to 181,544 and 281,748 is: 437,260.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,544 : 281,748 = 281,748 : x
  2. Step 2: Convert to fraction form
    181,544/281,748 = 281,748/x
  3. Step 3: Cross multiply
    181,544x = 281,748 × 281,748
  4. Step 4: Simplify right side
    181,544x = 79,381,935,504
  5. Step 5: Solve for x
    x = 79,381,935,504/181,544
  6. Step 6: Final answer
    x = 437,260.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.