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Finding the Third Proportional to 153.88 and 227.94

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Solution

The third proportional to 153.88 and 227.94 is: 337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.88 : 227.94 = 227.94 : x
  2. Step 2: Convert to fraction form
    153.88/227.94 = 227.94/x
  3. Step 3: Cross multiply
    153.88x = 227.94 × 227.94
  4. Step 4: Simplify right side
    153.88x = 51,955.50
  5. Step 5: Solve for x
    x = 51,955.50/153.88
  6. Step 6: Final answer
    x = 337.65

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.