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Finding the Third Proportional to 255.66 and 297.11

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Solution

The third proportional to 255.66 and 297.11 is: 345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.66 : 297.11 = 297.11 : x
  2. Step 2: Convert to fraction form
    255.66/297.11 = 297.11/x
  3. Step 3: Cross multiply
    255.66x = 297.11 × 297.11
  4. Step 4: Simplify right side
    255.66x = 88,271.66
  5. Step 5: Solve for x
    x = 88,271.66/255.66
  6. Step 6: Final answer
    x = 345.27

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.