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Finding the Third Proportional to 206,403.19 and 443,323.69

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Solution

The third proportional to 206,403.19 and 443,323.69 is: 952,194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,403.19 : 443,323.69 = 443,323.69 : x
  2. Step 2: Convert to fraction form
    206,403.19/443,323.69 = 443,323.69/x
  3. Step 3: Cross multiply
    206,403.19x = 443,323.69 × 443,323.69
  4. Step 4: Simplify right side
    206,403.19x = 196,535,891,898.60
  5. Step 5: Solve for x
    x = 196,535,891,898.60/206,403.19
  6. Step 6: Final answer
    x = 952,194.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.