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Finding the Third Proportional to 151.51 and 333.70

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Solution

The third proportional to 151.51 and 333.70 is: 735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.51 : 333.70 = 333.70 : x
  2. Step 2: Convert to fraction form
    151.51/333.70 = 333.70/x
  3. Step 3: Cross multiply
    151.51x = 333.70 × 333.70
  4. Step 4: Simplify right side
    151.51x = 111,357.78
  5. Step 5: Solve for x
    x = 111,357.78/151.51
  6. Step 6: Final answer
    x = 735.01

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.