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Finding the Third Proportional to 179,386 and 281,436

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Solution

The third proportional to 179,386 and 281,436 is: 441,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,386 : 281,436 = 281,436 : x
  2. Step 2: Convert to fraction form
    179,386/281,436 = 281,436/x
  3. Step 3: Cross multiply
    179,386x = 281,436 × 281,436
  4. Step 4: Simplify right side
    179,386x = 79,206,222,096
  5. Step 5: Solve for x
    x = 79,206,222,096/179,386
  6. Step 6: Final answer
    x = 441,540.71

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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.