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Finding the Third Proportional to 84,164 and 181,448

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Solution

The third proportional to 84,164 and 181,448 is: 391,181.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,164 : 181,448 = 181,448 : x
  2. Step 2: Convert to fraction form
    84,164/181,448 = 181,448/x
  3. Step 3: Cross multiply
    84,164x = 181,448 × 181,448
  4. Step 4: Simplify right side
    84,164x = 32,923,376,704
  5. Step 5: Solve for x
    x = 32,923,376,704/84,164
  6. Step 6: Final answer
    x = 391,181.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.