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Finding the Third Proportional to 83,230 and 182,031

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Solution

The third proportional to 83,230 and 182,031 is: 398,117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,230 : 182,031 = 182,031 : x
  2. Step 2: Convert to fraction form
    83,230/182,031 = 182,031/x
  3. Step 3: Cross multiply
    83,230x = 182,031 × 182,031
  4. Step 4: Simplify right side
    83,230x = 33,135,284,961
  5. Step 5: Solve for x
    x = 33,135,284,961/83,230
  6. Step 6: Final answer
    x = 398,117.08

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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.