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Finding the Third Proportional to 256,347.75 and 552,138.75

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Solution

The third proportional to 256,347.75 and 552,138.75 is: 1,189,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,347.75 : 552,138.75 = 552,138.75 : x
  2. Step 2: Convert to fraction form
    256,347.75/552,138.75 = 552,138.75/x
  3. Step 3: Cross multiply
    256,347.75x = 552,138.75 × 552,138.75
  4. Step 4: Simplify right side
    256,347.75x = 304,857,199,251.56
  5. Step 5: Solve for x
    x = 304,857,199,251.56/256,347.75
  6. Step 6: Final answer
    x = 1,189,232.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.