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Finding the Third Proportional to 152.72 and 333.70

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Solution

The third proportional to 152.72 and 333.70 is: 729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.72 : 333.70 = 333.70 : x
  2. Step 2: Convert to fraction form
    152.72/333.70 = 333.70/x
  3. Step 3: Cross multiply
    152.72x = 333.70 × 333.70
  4. Step 4: Simplify right side
    152.72x = 111,357.78
  5. Step 5: Solve for x
    x = 111,357.78/152.72
  6. Step 6: Final answer
    x = 729.17

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Why These Related Problems?

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