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Finding the Third Proportional to 131,832 and 281,146

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Solution

The third proportional to 131,832 and 281,146 is: 599,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,832 : 281,146 = 281,146 : x
  2. Step 2: Convert to fraction form
    131,832/281,146 = 281,146/x
  3. Step 3: Cross multiply
    131,832x = 281,146 × 281,146
  4. Step 4: Simplify right side
    131,832x = 79,043,073,316
  5. Step 5: Solve for x
    x = 79,043,073,316/131,832
  6. Step 6: Final answer
    x = 599,574.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.