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Finding the Third Proportional to 109,891 and 235,334

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Solution

The third proportional to 109,891 and 235,334 is: 503,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,891 : 235,334 = 235,334 : x
  2. Step 2: Convert to fraction form
    109,891/235,334 = 235,334/x
  3. Step 3: Cross multiply
    109,891x = 235,334 × 235,334
  4. Step 4: Simplify right side
    109,891x = 55,382,091,556
  5. Step 5: Solve for x
    x = 55,382,091,556/109,891
  6. Step 6: Final answer
    x = 503,972.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.