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Finding the Third Proportional to 84,698 and 185,992

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Solution

The third proportional to 84,698 and 185,992 is: 408,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,698 : 185,992 = 185,992 : x
  2. Step 2: Convert to fraction form
    84,698/185,992 = 185,992/x
  3. Step 3: Cross multiply
    84,698x = 185,992 × 185,992
  4. Step 4: Simplify right side
    84,698x = 34,593,024,064
  5. Step 5: Solve for x
    x = 34,593,024,064/84,698
  6. Step 6: Final answer
    x = 408,427.87

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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.