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Finding the Third Proportional to 149,649.75 and 231,873.75

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Solution

The third proportional to 149,649.75 and 231,873.75 is: 359,275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,649.75 : 231,873.75 = 231,873.75 : x
  2. Step 2: Convert to fraction form
    149,649.75/231,873.75 = 231,873.75/x
  3. Step 3: Cross multiply
    149,649.75x = 231,873.75 × 231,873.75
  4. Step 4: Simplify right side
    149,649.75x = 53,765,435,939.06
  5. Step 5: Solve for x
    x = 53,765,435,939.06/149,649.75
  6. Step 6: Final answer
    x = 359,275.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.