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Finding the Third Proportional to 81,448 and 176,822

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Solution

The third proportional to 81,448 and 176,822 is: 383,877.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,448 : 176,822 = 176,822 : x
  2. Step 2: Convert to fraction form
    81,448/176,822 = 176,822/x
  3. Step 3: Cross multiply
    81,448x = 176,822 × 176,822
  4. Step 4: Simplify right side
    81,448x = 31,266,019,684
  5. Step 5: Solve for x
    x = 31,266,019,684/81,448
  6. Step 6: Final answer
    x = 383,877.07

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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.