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Finding the Third Proportional to 179,648 and 281,814

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Solution

The third proportional to 179,648 and 281,814 is: 442,081.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,648 : 281,814 = 281,814 : x
  2. Step 2: Convert to fraction form
    179,648/281,814 = 281,814/x
  3. Step 3: Cross multiply
    179,648x = 281,814 × 281,814
  4. Step 4: Simplify right side
    179,648x = 79,419,130,596
  5. Step 5: Solve for x
    x = 79,419,130,596/179,648
  6. Step 6: Final answer
    x = 442,081.91

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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.