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Finding the Third Proportional to 151,209.50 and 222,434.25

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Solution

The third proportional to 151,209.50 and 222,434.25 is: 327,208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,209.50 : 222,434.25 = 222,434.25 : x
  2. Step 2: Convert to fraction form
    151,209.50/222,434.25 = 222,434.25/x
  3. Step 3: Cross multiply
    151,209.50x = 222,434.25 × 222,434.25
  4. Step 4: Simplify right side
    151,209.50x = 49,476,995,573.06
  5. Step 5: Solve for x
    x = 49,476,995,573.06/151,209.50
  6. Step 6: Final answer
    x = 327,208.25

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