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Finding the Third Proportional to 256.75 and 557.88

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Solution

The third proportional to 256.75 and 557.88 is: 1,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.75 : 557.88 = 557.88 : x
  2. Step 2: Convert to fraction form
    256.75/557.88 = 557.88/x
  3. Step 3: Cross multiply
    256.75x = 557.88 × 557.88
  4. Step 4: Simplify right side
    256.75x = 311,224.52
  5. Step 5: Solve for x
    x = 311,224.52/256.75
  6. Step 6: Final answer
    x = 1,212.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.