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Finding the Third Proportional to 205,377 and 441,108

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Solution

The third proportional to 205,377 and 441,108 is: 947,410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,377 : 441,108 = 441,108 : x
  2. Step 2: Convert to fraction form
    205,377/441,108 = 441,108/x
  3. Step 3: Cross multiply
    205,377x = 441,108 × 441,108
  4. Step 4: Simplify right side
    205,377x = 194,576,267,664
  5. Step 5: Solve for x
    x = 194,576,267,664/205,377
  6. Step 6: Final answer
    x = 947,410.21

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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.