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Finding the Third Proportional to 206,412.19 and 443,341.69

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Solution

The third proportional to 206,412.19 and 443,341.69 is: 952,229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,412.19 : 443,341.69 = 443,341.69 : x
  2. Step 2: Convert to fraction form
    206,412.19/443,341.69 = 443,341.69/x
  3. Step 3: Cross multiply
    206,412.19x = 443,341.69 × 443,341.69
  4. Step 4: Simplify right side
    206,412.19x = 196,551,851,875.35
  5. Step 5: Solve for x
    x = 196,551,851,875.35/206,412.19
  6. Step 6: Final answer
    x = 952,229.88

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