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Finding the Third Proportional to 206,998 and 427,210

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Solution

The third proportional to 206,998 and 427,210 is: 881,691.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,998 : 427,210 = 427,210 : x
  2. Step 2: Convert to fraction form
    206,998/427,210 = 427,210/x
  3. Step 3: Cross multiply
    206,998x = 427,210 × 427,210
  4. Step 4: Simplify right side
    206,998x = 182,508,384,100
  5. Step 5: Solve for x
    x = 182,508,384,100/206,998
  6. Step 6: Final answer
    x = 881,691.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.