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Finding the Third Proportional to 266,150 and 382,612

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Solution

The third proportional to 266,150 and 382,612 is: 550,035.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,150 : 382,612 = 382,612 : x
  2. Step 2: Convert to fraction form
    266,150/382,612 = 382,612/x
  3. Step 3: Cross multiply
    266,150x = 382,612 × 382,612
  4. Step 4: Simplify right side
    266,150x = 146,391,942,544
  5. Step 5: Solve for x
    x = 146,391,942,544/266,150
  6. Step 6: Final answer
    x = 550,035.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.