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Finding the Third Proportional to 84,231 and 181,583

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Solution

The third proportional to 84,231 and 181,583 is: 391,451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,231 : 181,583 = 181,583 : x
  2. Step 2: Convert to fraction form
    84,231/181,583 = 181,583/x
  3. Step 3: Cross multiply
    84,231x = 181,583 × 181,583
  4. Step 4: Simplify right side
    84,231x = 32,972,385,889
  5. Step 5: Solve for x
    x = 32,972,385,889/84,231
  6. Step 6: Final answer
    x = 391,451.91

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