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Finding the Third Proportional to 256.88 and 553.88

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Solution

The third proportional to 256.88 and 553.88 is: 1,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.88 : 553.88 = 553.88 : x
  2. Step 2: Convert to fraction form
    256.88/553.88 = 553.88/x
  3. Step 3: Cross multiply
    256.88x = 553.88 × 553.88
  4. Step 4: Simplify right side
    256.88x = 306,777.52
  5. Step 5: Solve for x
    x = 306,777.52/256.88
  6. Step 6: Final answer
    x = 1,194.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.