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Finding the Third Proportional to 69,199.75 and 151,643.25

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Solution

The third proportional to 69,199.75 and 151,643.25 is: 332,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,199.75 : 151,643.25 = 151,643.25 : x
  2. Step 2: Convert to fraction form
    69,199.75/151,643.25 = 151,643.25/x
  3. Step 3: Cross multiply
    69,199.75x = 151,643.25 × 151,643.25
  4. Step 4: Simplify right side
    69,199.75x = 22,995,675,270.56
  5. Step 5: Solve for x
    x = 22,995,675,270.56/69,199.75
  6. Step 6: Final answer
    x = 332,308.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.