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Finding the Third Proportional to 150,482 and 336,612

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Solution

The third proportional to 150,482 and 336,612 is: 752,964.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,482 : 336,612 = 336,612 : x
  2. Step 2: Convert to fraction form
    150,482/336,612 = 336,612/x
  3. Step 3: Cross multiply
    150,482x = 336,612 × 336,612
  4. Step 4: Simplify right side
    150,482x = 113,307,638,544
  5. Step 5: Solve for x
    x = 113,307,638,544/150,482
  6. Step 6: Final answer
    x = 752,964.73

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.