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Finding the Third Proportional to 158.95 and 237.61

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Solution

The third proportional to 158.95 and 237.61 is: 355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.95 : 237.61 = 237.61 : x
  2. Step 2: Convert to fraction form
    158.95/237.61 = 237.61/x
  3. Step 3: Cross multiply
    158.95x = 237.61 × 237.61
  4. Step 4: Simplify right side
    158.95x = 56,458.22
  5. Step 5: Solve for x
    x = 56,458.22/158.95
  6. Step 6: Final answer
    x = 355.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.