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Finding the Third Proportional to 180.75 and 319.13

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Solution

The third proportional to 180.75 and 319.13 is: 563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.75 : 319.13 = 319.13 : x
  2. Step 2: Convert to fraction form
    180.75/319.13 = 319.13/x
  3. Step 3: Cross multiply
    180.75x = 319.13 × 319.13
  4. Step 4: Simplify right side
    180.75x = 101,840.77
  5. Step 5: Solve for x
    x = 101,840.77/180.75
  6. Step 6: Final answer
    x = 563.43

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.