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Finding the Third Proportional to 83,768 and 180,657

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Solution

The third proportional to 83,768 and 180,657 is: 389,611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,768 : 180,657 = 180,657 : x
  2. Step 2: Convert to fraction form
    83,768/180,657 = 180,657/x
  3. Step 3: Cross multiply
    83,768x = 180,657 × 180,657
  4. Step 4: Simplify right side
    83,768x = 32,636,951,649
  5. Step 5: Solve for x
    x = 32,636,951,649/83,768
  6. Step 6: Final answer
    x = 389,611.21

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Why These Related Problems?

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