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Finding the Third Proportional to 206,510 and 424,137

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Solution

The third proportional to 206,510 and 424,137 is: 871,106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,510 : 424,137 = 424,137 : x
  2. Step 2: Convert to fraction form
    206,510/424,137 = 424,137/x
  3. Step 3: Cross multiply
    206,510x = 424,137 × 424,137
  4. Step 4: Simplify right side
    206,510x = 179,892,194,769
  5. Step 5: Solve for x
    x = 179,892,194,769/206,510
  6. Step 6: Final answer
    x = 871,106.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.