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Finding the Third Proportional to 291.75 and 356.91

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Solution

The third proportional to 291.75 and 356.91 is: 436.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.75 : 356.91 = 356.91 : x
  2. Step 2: Convert to fraction form
    291.75/356.91 = 356.91/x
  3. Step 3: Cross multiply
    291.75x = 356.91 × 356.91
  4. Step 4: Simplify right side
    291.75x = 127,382.07
  5. Step 5: Solve for x
    x = 127,382.07/291.75
  6. Step 6: Final answer
    x = 436.61

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.