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Finding the Third Proportional to 83,634 and 179,397

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Solution

The third proportional to 83,634 and 179,397 is: 384,811.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,634 : 179,397 = 179,397 : x
  2. Step 2: Convert to fraction form
    83,634/179,397 = 179,397/x
  3. Step 3: Cross multiply
    83,634x = 179,397 × 179,397
  4. Step 4: Simplify right side
    83,634x = 32,183,283,609
  5. Step 5: Solve for x
    x = 32,183,283,609/83,634
  6. Step 6: Final answer
    x = 384,811.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.