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Finding the Third Proportional to 202,341.38 and 443,228.63

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Solution

The third proportional to 202,341.38 and 443,228.63 is: 970,891.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,341.38 : 443,228.63 = 443,228.63 : x
  2. Step 2: Convert to fraction form
    202,341.38/443,228.63 = 443,228.63/x
  3. Step 3: Cross multiply
    202,341.38x = 443,228.63 × 443,228.63
  4. Step 4: Simplify right side
    202,341.38x = 196,451,614,019.39
  5. Step 5: Solve for x
    x = 196,451,614,019.39/202,341.38
  6. Step 6: Final answer
    x = 970,891.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.