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Finding the Third Proportional to 200,921.25 and 273,615.75

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Solution

The third proportional to 200,921.25 and 273,615.75 is: 372,611.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,921.25 : 273,615.75 = 273,615.75 : x
  2. Step 2: Convert to fraction form
    200,921.25/273,615.75 = 273,615.75/x
  3. Step 3: Cross multiply
    200,921.25x = 273,615.75 × 273,615.75
  4. Step 4: Simplify right side
    200,921.25x = 74,865,578,648.06
  5. Step 5: Solve for x
    x = 74,865,578,648.06/200,921.25
  6. Step 6: Final answer
    x = 372,611.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.