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Finding the Third Proportional to 83,231 and 182,033

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Solution

The third proportional to 83,231 and 182,033 is: 398,121.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,231 : 182,033 = 182,033 : x
  2. Step 2: Convert to fraction form
    83,231/182,033 = 182,033/x
  3. Step 3: Cross multiply
    83,231x = 182,033 × 182,033
  4. Step 4: Simplify right side
    83,231x = 33,136,013,089
  5. Step 5: Solve for x
    x = 33,136,013,089/83,231
  6. Step 6: Final answer
    x = 398,121.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.