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Finding the Third Proportional to 149,901 and 230,640.75

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Solution

The third proportional to 149,901 and 230,640.75 is: 354,868.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,901 : 230,640.75 = 230,640.75 : x
  2. Step 2: Convert to fraction form
    149,901/230,640.75 = 230,640.75/x
  3. Step 3: Cross multiply
    149,901x = 230,640.75 × 230,640.75
  4. Step 4: Simplify right side
    149,901x = 53,195,155,560.56
  5. Step 5: Solve for x
    x = 53,195,155,560.56/149,901
  6. Step 6: Final answer
    x = 354,868.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.