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Finding the Third Proportional to 192,569 and 287,791

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Solution

The third proportional to 192,569 and 287,791 is: 430,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,569 : 287,791 = 287,791 : x
  2. Step 2: Convert to fraction form
    192,569/287,791 = 287,791/x
  3. Step 3: Cross multiply
    192,569x = 287,791 × 287,791
  4. Step 4: Simplify right side
    192,569x = 82,823,659,681
  5. Step 5: Solve for x
    x = 82,823,659,681/192,569
  6. Step 6: Final answer
    x = 430,098.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.