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Finding the Third Proportional to 158,664 and 330,452

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Solution

The third proportional to 158,664 and 330,452 is: 688,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,664 : 330,452 = 330,452 : x
  2. Step 2: Convert to fraction form
    158,664/330,452 = 330,452/x
  3. Step 3: Cross multiply
    158,664x = 330,452 × 330,452
  4. Step 4: Simplify right side
    158,664x = 109,198,524,304
  5. Step 5: Solve for x
    x = 109,198,524,304/158,664
  6. Step 6: Final answer
    x = 688,237.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.