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Finding the Third Proportional to 87,580 and 188,300

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Solution

The third proportional to 87,580 and 188,300 is: 404,851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,580 : 188,300 = 188,300 : x
  2. Step 2: Convert to fraction form
    87,580/188,300 = 188,300/x
  3. Step 3: Cross multiply
    87,580x = 188,300 × 188,300
  4. Step 4: Simplify right side
    87,580x = 35,456,890,000
  5. Step 5: Solve for x
    x = 35,456,890,000/87,580
  6. Step 6: Final answer
    x = 404,851.45

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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.