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Finding the Third Proportional to 151,207.50 and 222,431.25

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Solution

The third proportional to 151,207.50 and 222,431.25 is: 327,203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,207.50 : 222,431.25 = 222,431.25 : x
  2. Step 2: Convert to fraction form
    151,207.50/222,431.25 = 222,431.25/x
  3. Step 3: Cross multiply
    151,207.50x = 222,431.25 × 222,431.25
  4. Step 4: Simplify right side
    151,207.50x = 49,475,660,976.56
  5. Step 5: Solve for x
    x = 49,475,660,976.56/151,207.50
  6. Step 6: Final answer
    x = 327,203.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.