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Finding the Third Proportional to 179,716 and 281,898

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Solution

The third proportional to 179,716 and 281,898 is: 442,178.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,716 : 281,898 = 281,898 : x
  2. Step 2: Convert to fraction form
    179,716/281,898 = 281,898/x
  3. Step 3: Cross multiply
    179,716x = 281,898 × 281,898
  4. Step 4: Simplify right side
    179,716x = 79,466,482,404
  5. Step 5: Solve for x
    x = 79,466,482,404/179,716
  6. Step 6: Final answer
    x = 442,178.12

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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.