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Finding the Third Proportional to 199,569 and 236,475

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Solution

The third proportional to 199,569 and 236,475 is: 280,205.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,569 : 236,475 = 236,475 : x
  2. Step 2: Convert to fraction form
    199,569/236,475 = 236,475/x
  3. Step 3: Cross multiply
    199,569x = 236,475 × 236,475
  4. Step 4: Simplify right side
    199,569x = 55,920,425,625
  5. Step 5: Solve for x
    x = 55,920,425,625/199,569
  6. Step 6: Final answer
    x = 280,205.97

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.