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Finding the Third Proportional to 206,400.94 and 418,347.56

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Solution

The third proportional to 206,400.94 and 418,347.56 is: 847,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,400.94 : 418,347.56 = 418,347.56 : x
  2. Step 2: Convert to fraction form
    206,400.94/418,347.56 = 418,347.56/x
  3. Step 3: Cross multiply
    206,400.94x = 418,347.56 × 418,347.56
  4. Step 4: Simplify right side
    206,400.94x = 175,014,683,049.69
  5. Step 5: Solve for x
    x = 175,014,683,049.69/206,400.94
  6. Step 6: Final answer
    x = 847,935.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.