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Finding the Third Proportional to 84,727 and 183,400

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Solution

The third proportional to 84,727 and 183,400 is: 396,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,727 : 183,400 = 183,400 : x
  2. Step 2: Convert to fraction form
    84,727/183,400 = 183,400/x
  3. Step 3: Cross multiply
    84,727x = 183,400 × 183,400
  4. Step 4: Simplify right side
    84,727x = 33,635,560,000
  5. Step 5: Solve for x
    x = 33,635,560,000/84,727
  6. Step 6: Final answer
    x = 396,987.50

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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.