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Finding the Third Proportional to 83,118 and 182,840

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Solution

The third proportional to 83,118 and 182,840 is: 402,204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,118 : 182,840 = 182,840 : x
  2. Step 2: Convert to fraction form
    83,118/182,840 = 182,840/x
  3. Step 3: Cross multiply
    83,118x = 182,840 × 182,840
  4. Step 4: Simplify right side
    83,118x = 33,430,465,600
  5. Step 5: Solve for x
    x = 33,430,465,600/83,118
  6. Step 6: Final answer
    x = 402,204.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.