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Finding the Third Proportional to 109,204 and 234,351

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Solution

The third proportional to 109,204 and 234,351 is: 502,915.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,204 : 234,351 = 234,351 : x
  2. Step 2: Convert to fraction form
    109,204/234,351 = 234,351/x
  3. Step 3: Cross multiply
    109,204x = 234,351 × 234,351
  4. Step 4: Simplify right side
    109,204x = 54,920,391,201
  5. Step 5: Solve for x
    x = 54,920,391,201/109,204
  6. Step 6: Final answer
    x = 502,915.56

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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.