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Finding the Third Proportional to 206,401.50 and 446,499

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Solution

The third proportional to 206,401.50 and 446,499 is: 965,891.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,401.50 : 446,499 = 446,499 : x
  2. Step 2: Convert to fraction form
    206,401.50/446,499 = 446,499/x
  3. Step 3: Cross multiply
    206,401.50x = 446,499 × 446,499
  4. Step 4: Simplify right side
    206,401.50x = 199,361,357,001
  5. Step 5: Solve for x
    x = 199,361,357,001/206,401.50
  6. Step 6: Final answer
    x = 965,891.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.