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Finding the Third Proportional to 237,846.38 and 326,151.56

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Solution

The third proportional to 237,846.38 and 326,151.56 is: 447,241.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,846.38 : 326,151.56 = 326,151.56 : x
  2. Step 2: Convert to fraction form
    237,846.38/326,151.56 = 326,151.56/x
  3. Step 3: Cross multiply
    237,846.38x = 326,151.56 × 326,151.56
  4. Step 4: Simplify right side
    237,846.38x = 106,374,841,721.19
  5. Step 5: Solve for x
    x = 106,374,841,721.19/237,846.38
  6. Step 6: Final answer
    x = 447,241.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.