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Finding the Third Proportional to 152.30 and 330.52

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Solution

The third proportional to 152.30 and 330.52 is: 717.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.30 : 330.52 = 330.52 : x
  2. Step 2: Convert to fraction form
    152.30/330.52 = 330.52/x
  3. Step 3: Cross multiply
    152.30x = 330.52 × 330.52
  4. Step 4: Simplify right side
    152.30x = 109,240.58
  5. Step 5: Solve for x
    x = 109,240.58/152.30
  6. Step 6: Final answer
    x = 717.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.