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Finding the Third Proportional to 109,519 and 235,398

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Solution

The third proportional to 109,519 and 235,398 is: 505,959.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,519 : 235,398 = 235,398 : x
  2. Step 2: Convert to fraction form
    109,519/235,398 = 235,398/x
  3. Step 3: Cross multiply
    109,519x = 235,398 × 235,398
  4. Step 4: Simplify right side
    109,519x = 55,412,218,404
  5. Step 5: Solve for x
    x = 55,412,218,404/109,519
  6. Step 6: Final answer
    x = 505,959.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.