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Finding the Third Proportional to 179,702 and 281,877

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Solution

The third proportional to 179,702 and 281,877 is: 442,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,702 : 281,877 = 281,877 : x
  2. Step 2: Convert to fraction form
    179,702/281,877 = 281,877/x
  3. Step 3: Cross multiply
    179,702x = 281,877 × 281,877
  4. Step 4: Simplify right side
    179,702x = 79,454,643,129
  5. Step 5: Solve for x
    x = 79,454,643,129/179,702
  6. Step 6: Final answer
    x = 442,146.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.