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Finding the Third Proportional to 206,890 and 322,596

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Solution

The third proportional to 206,890 and 322,596 is: 503,012.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,890 : 322,596 = 322,596 : x
  2. Step 2: Convert to fraction form
    206,890/322,596 = 322,596/x
  3. Step 3: Cross multiply
    206,890x = 322,596 × 322,596
  4. Step 4: Simplify right side
    206,890x = 104,068,179,216
  5. Step 5: Solve for x
    x = 104,068,179,216/206,890
  6. Step 6: Final answer
    x = 503,012.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.