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Finding the Third Proportional to 255.34 and 544.85

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Solution

The third proportional to 255.34 and 544.85 is: 1,162.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.34 : 544.85 = 544.85 : x
  2. Step 2: Convert to fraction form
    255.34/544.85 = 544.85/x
  3. Step 3: Cross multiply
    255.34x = 544.85 × 544.85
  4. Step 4: Simplify right side
    255.34x = 296,863.23
  5. Step 5: Solve for x
    x = 296,863.23/255.34
  6. Step 6: Final answer
    x = 1,162.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.