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Finding the Third Proportional to 181,358 and 281,764

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Solution

The third proportional to 181,358 and 281,764 is: 437,758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,358 : 281,764 = 281,764 : x
  2. Step 2: Convert to fraction form
    181,358/281,764 = 281,764/x
  3. Step 3: Cross multiply
    181,358x = 281,764 × 281,764
  4. Step 4: Simplify right side
    181,358x = 79,390,951,696
  5. Step 5: Solve for x
    x = 79,390,951,696/181,358
  6. Step 6: Final answer
    x = 437,758.20

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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.