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Finding the Third Proportional to 188,230 and 282,762

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Solution

The third proportional to 188,230 and 282,762 is: 424,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,230 : 282,762 = 282,762 : x
  2. Step 2: Convert to fraction form
    188,230/282,762 = 282,762/x
  3. Step 3: Cross multiply
    188,230x = 282,762 × 282,762
  4. Step 4: Simplify right side
    188,230x = 79,954,348,644
  5. Step 5: Solve for x
    x = 79,954,348,644/188,230
  6. Step 6: Final answer
    x = 424,769.42

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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.