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Finding the Third Proportional to 84,182 and 181,484

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Solution

The third proportional to 84,182 and 181,484 is: 391,252.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,182 : 181,484 = 181,484 : x
  2. Step 2: Convert to fraction form
    84,182/181,484 = 181,484/x
  3. Step 3: Cross multiply
    84,182x = 181,484 × 181,484
  4. Step 4: Simplify right side
    84,182x = 32,936,442,256
  5. Step 5: Solve for x
    x = 32,936,442,256/84,182
  6. Step 6: Final answer
    x = 391,252.79

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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.