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Finding the Third Proportional to 158,091.75 and 240,387.75

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Solution

The third proportional to 158,091.75 and 240,387.75 is: 365,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,091.75 : 240,387.75 = 240,387.75 : x
  2. Step 2: Convert to fraction form
    158,091.75/240,387.75 = 240,387.75/x
  3. Step 3: Cross multiply
    158,091.75x = 240,387.75 × 240,387.75
  4. Step 4: Simplify right side
    158,091.75x = 57,786,270,350.06
  5. Step 5: Solve for x
    x = 57,786,270,350.06/158,091.75
  6. Step 6: Final answer
    x = 365,523.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.