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Finding the Third Proportional to 256.50 and 394.73

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Solution

The third proportional to 256.50 and 394.73 is: 607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.50 : 394.73 = 394.73 : x
  2. Step 2: Convert to fraction form
    256.50/394.73 = 394.73/x
  3. Step 3: Cross multiply
    256.50x = 394.73 × 394.73
  4. Step 4: Simplify right side
    256.50x = 155,815.23
  5. Step 5: Solve for x
    x = 155,815.23/256.50
  6. Step 6: Final answer
    x = 607.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.