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Finding the Third Proportional to 83,673 and 180,468

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Solution

The third proportional to 83,673 and 180,468 is: 389,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,673 : 180,468 = 180,468 : x
  2. Step 2: Convert to fraction form
    83,673/180,468 = 180,468/x
  3. Step 3: Cross multiply
    83,673x = 180,468 × 180,468
  4. Step 4: Simplify right side
    83,673x = 32,568,699,024
  5. Step 5: Solve for x
    x = 32,568,699,024/83,673
  6. Step 6: Final answer
    x = 389,237.85

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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.