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Finding the Third Proportional to 152.50 and 331

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Solution

The third proportional to 152.50 and 331 is: 718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.50 : 331 = 331 : x
  2. Step 2: Convert to fraction form
    152.50/331 = 331/x
  3. Step 3: Cross multiply
    152.50x = 331 × 331
  4. Step 4: Simplify right side
    152.50x = 109,561
  5. Step 5: Solve for x
    x = 109,561/152.50
  6. Step 6: Final answer
    x = 718.43

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