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Finding the Third Proportional to 83,802 and 180,723

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Solution

The third proportional to 83,802 and 180,723 is: 389,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,802 : 180,723 = 180,723 : x
  2. Step 2: Convert to fraction form
    83,802/180,723 = 180,723/x
  3. Step 3: Cross multiply
    83,802x = 180,723 × 180,723
  4. Step 4: Simplify right side
    83,802x = 32,660,802,729
  5. Step 5: Solve for x
    x = 32,660,802,729/83,802
  6. Step 6: Final answer
    x = 389,737.75

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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.