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Finding the Third Proportional to 195,376 and 418,400

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Solution

The third proportional to 195,376 and 418,400 is: 896,008.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,376 : 418,400 = 418,400 : x
  2. Step 2: Convert to fraction form
    195,376/418,400 = 418,400/x
  3. Step 3: Cross multiply
    195,376x = 418,400 × 418,400
  4. Step 4: Simplify right side
    195,376x = 175,058,560,000
  5. Step 5: Solve for x
    x = 175,058,560,000/195,376
  6. Step 6: Final answer
    x = 896,008.52

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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.