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Finding the Third Proportional to 205,120 and 441,472

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Solution

The third proportional to 205,120 and 441,472 is: 950,163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,120 : 441,472 = 441,472 : x
  2. Step 2: Convert to fraction form
    205,120/441,472 = 441,472/x
  3. Step 3: Cross multiply
    205,120x = 441,472 × 441,472
  4. Step 4: Simplify right side
    205,120x = 194,897,526,784
  5. Step 5: Solve for x
    x = 194,897,526,784/205,120
  6. Step 6: Final answer
    x = 950,163.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.