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Finding the Third Proportional to 188,406 and 282,612

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Solution

The third proportional to 188,406 and 282,612 is: 423,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,406 : 282,612 = 282,612 : x
  2. Step 2: Convert to fraction form
    188,406/282,612 = 282,612/x
  3. Step 3: Cross multiply
    188,406x = 282,612 × 282,612
  4. Step 4: Simplify right side
    188,406x = 79,869,542,544
  5. Step 5: Solve for x
    x = 79,869,542,544/188,406
  6. Step 6: Final answer
    x = 423,922.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.