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Finding the Third Proportional to 256,027.50 and 368,799.75

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Solution

The third proportional to 256,027.50 and 368,799.75 is: 531,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,027.50 : 368,799.75 = 368,799.75 : x
  2. Step 2: Convert to fraction form
    256,027.50/368,799.75 = 368,799.75/x
  3. Step 3: Cross multiply
    256,027.50x = 368,799.75 × 368,799.75
  4. Step 4: Simplify right side
    256,027.50x = 136,013,255,600.06
  5. Step 5: Solve for x
    x = 136,013,255,600.06/256,027.50
  6. Step 6: Final answer
    x = 531,244.71

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.