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Finding the Third Proportional to 256,344.12 and 552,130.17

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Solution

The third proportional to 256,344.12 and 552,130.17 is: 1,189,212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,344.12 : 552,130.17 = 552,130.17 : x
  2. Step 2: Convert to fraction form
    256,344.12/552,130.17 = 552,130.17/x
  3. Step 3: Cross multiply
    256,344.12x = 552,130.17 × 552,130.17
  4. Step 4: Simplify right side
    256,344.12x = 304,847,726,694.72
  5. Step 5: Solve for x
    x = 304,847,726,694.72/256,344.12
  6. Step 6: Final answer
    x = 1,189,212.88

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Why These Related Problems?

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