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Finding the Third Proportional to 84,580 and 185,900

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Solution

The third proportional to 84,580 and 185,900 is: 408,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,580 : 185,900 = 185,900 : x
  2. Step 2: Convert to fraction form
    84,580/185,900 = 185,900/x
  3. Step 3: Cross multiply
    84,580x = 185,900 × 185,900
  4. Step 4: Simplify right side
    84,580x = 34,558,810,000
  5. Step 5: Solve for x
    x = 34,558,810,000/84,580
  6. Step 6: Final answer
    x = 408,593.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.