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Finding the Third Proportional to 84,198 and 185,964

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Solution

The third proportional to 84,198 and 185,964 is: 410,729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,198 : 185,964 = 185,964 : x
  2. Step 2: Convert to fraction form
    84,198/185,964 = 185,964/x
  3. Step 3: Cross multiply
    84,198x = 185,964 × 185,964
  4. Step 4: Simplify right side
    84,198x = 34,582,609,296
  5. Step 5: Solve for x
    x = 34,582,609,296/84,198
  6. Step 6: Final answer
    x = 410,729.58

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.