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Finding the Third Proportional to 116,802 and 180,675

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Solution

The third proportional to 116,802 and 180,675 is: 279,476.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,802 : 180,675 = 180,675 : x
  2. Step 2: Convert to fraction form
    116,802/180,675 = 180,675/x
  3. Step 3: Cross multiply
    116,802x = 180,675 × 180,675
  4. Step 4: Simplify right side
    116,802x = 32,643,455,625
  5. Step 5: Solve for x
    x = 32,643,455,625/116,802
  6. Step 6: Final answer
    x = 279,476.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.