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Finding the Third Proportional to 153 and 334.97

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Solution

The third proportional to 153 and 334.97 is: 733.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153 : 334.97 = 334.97 : x
  2. Step 2: Convert to fraction form
    153/334.97 = 334.97/x
  3. Step 3: Cross multiply
    153x = 334.97 × 334.97
  4. Step 4: Simplify right side
    153x = 112,204.06
  5. Step 5: Solve for x
    x = 112,204.06/153
  6. Step 6: Final answer
    x = 733.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.