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Finding the Third Proportional to 188,644 and 282,966

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Solution

The third proportional to 188,644 and 282,966 is: 424,449

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,644 : 282,966 = 282,966 : x
  2. Step 2: Convert to fraction form
    188,644/282,966 = 282,966/x
  3. Step 3: Cross multiply
    188,644x = 282,966 × 282,966
  4. Step 4: Simplify right side
    188,644x = 80,069,757,156
  5. Step 5: Solve for x
    x = 80,069,757,156/188,644
  6. Step 6: Final answer
    x = 424,449

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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.