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Finding the Third Proportional to 84,400 and 181,600

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Solution

The third proportional to 84,400 and 181,600 is: 390,741.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,400 : 181,600 = 181,600 : x
  2. Step 2: Convert to fraction form
    84,400/181,600 = 181,600/x
  3. Step 3: Cross multiply
    84,400x = 181,600 × 181,600
  4. Step 4: Simplify right side
    84,400x = 32,978,560,000
  5. Step 5: Solve for x
    x = 32,978,560,000/84,400
  6. Step 6: Final answer
    x = 390,741.23

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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.