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Finding the Third Proportional to 84,891 and 185,334

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Solution

The third proportional to 84,891 and 185,334 is: 404,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,891 : 185,334 = 185,334 : x
  2. Step 2: Convert to fraction form
    84,891/185,334 = 185,334/x
  3. Step 3: Cross multiply
    84,891x = 185,334 × 185,334
  4. Step 4: Simplify right side
    84,891x = 34,348,691,556
  5. Step 5: Solve for x
    x = 34,348,691,556/84,891
  6. Step 6: Final answer
    x = 404,621.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.