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Finding the Third Proportional to 206,800.59 and 434,468.81

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Solution

The third proportional to 206,800.59 and 434,468.81 is: 912,778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,800.59 : 434,468.81 = 434,468.81 : x
  2. Step 2: Convert to fraction form
    206,800.59/434,468.81 = 434,468.81/x
  3. Step 3: Cross multiply
    206,800.59x = 434,468.81 × 434,468.81
  4. Step 4: Simplify right side
    206,800.59x = 188,763,149,035.16
  5. Step 5: Solve for x
    x = 188,763,149,035.16/206,800.59
  6. Step 6: Final answer
    x = 912,778.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.