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Finding the Third Proportional to 200,592 and 282,234

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Solution

The third proportional to 200,592 and 282,234 is: 397,104.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,592 : 282,234 = 282,234 : x
  2. Step 2: Convert to fraction form
    200,592/282,234 = 282,234/x
  3. Step 3: Cross multiply
    200,592x = 282,234 × 282,234
  4. Step 4: Simplify right side
    200,592x = 79,656,030,756
  5. Step 5: Solve for x
    x = 79,656,030,756/200,592
  6. Step 6: Final answer
    x = 397,104.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.