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Finding the Third Proportional to 83,598 and 182,748

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Solution

The third proportional to 83,598 and 182,748 is: 399,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,598 : 182,748 = 182,748 : x
  2. Step 2: Convert to fraction form
    83,598/182,748 = 182,748/x
  3. Step 3: Cross multiply
    83,598x = 182,748 × 182,748
  4. Step 4: Simplify right side
    83,598x = 33,396,831,504
  5. Step 5: Solve for x
    x = 33,396,831,504/83,598
  6. Step 6: Final answer
    x = 399,493.19

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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.