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Finding the Third Proportional to 188,649 and 282,974

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Solution

The third proportional to 188,649 and 282,974 is: 424,461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,649 : 282,974 = 282,974 : x
  2. Step 2: Convert to fraction form
    188,649/282,974 = 282,974/x
  3. Step 3: Cross multiply
    188,649x = 282,974 × 282,974
  4. Step 4: Simplify right side
    188,649x = 80,074,284,676
  5. Step 5: Solve for x
    x = 80,074,284,676/188,649
  6. Step 6: Final answer
    x = 424,461.75

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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.