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Finding the Third Proportional to 81,444 and 176,814

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Solution

The third proportional to 81,444 and 176,814 is: 383,861.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,444 : 176,814 = 176,814 : x
  2. Step 2: Convert to fraction form
    81,444/176,814 = 176,814/x
  3. Step 3: Cross multiply
    81,444x = 176,814 × 176,814
  4. Step 4: Simplify right side
    81,444x = 31,263,190,596
  5. Step 5: Solve for x
    x = 31,263,190,596/81,444
  6. Step 6: Final answer
    x = 383,861.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.