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Finding the Third Proportional to 147,839.25 and 231,649.25

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Solution

The third proportional to 147,839.25 and 231,649.25 is: 362,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,839.25 : 231,649.25 = 231,649.25 : x
  2. Step 2: Convert to fraction form
    147,839.25/231,649.25 = 231,649.25/x
  3. Step 3: Cross multiply
    147,839.25x = 231,649.25 × 231,649.25
  4. Step 4: Simplify right side
    147,839.25x = 53,661,375,025.56
  5. Step 5: Solve for x
    x = 53,661,375,025.56/147,839.25
  6. Step 6: Final answer
    x = 362,971.10

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.