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Finding the Third Proportional to 291.75 and 371.53

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Solution

The third proportional to 291.75 and 371.53 is: 473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.75 : 371.53 = 371.53 : x
  2. Step 2: Convert to fraction form
    291.75/371.53 = 371.53/x
  3. Step 3: Cross multiply
    291.75x = 371.53 × 371.53
  4. Step 4: Simplify right side
    291.75x = 138,035.47
  5. Step 5: Solve for x
    x = 138,035.47/291.75
  6. Step 6: Final answer
    x = 473.13

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.