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Finding the Third Proportional to 87,209 and 188,360

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Solution

The third proportional to 87,209 and 188,360 is: 406,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,209 : 188,360 = 188,360 : x
  2. Step 2: Convert to fraction form
    87,209/188,360 = 188,360/x
  3. Step 3: Cross multiply
    87,209x = 188,360 × 188,360
  4. Step 4: Simplify right side
    87,209x = 35,479,489,600
  5. Step 5: Solve for x
    x = 35,479,489,600/87,209
  6. Step 6: Final answer
    x = 406,832.89

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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.