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Finding the Third Proportional to 237.50 and 343.56

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Solution

The third proportional to 237.50 and 343.56 is: 496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.50 : 343.56 = 343.56 : x
  2. Step 2: Convert to fraction form
    237.50/343.56 = 343.56/x
  3. Step 3: Cross multiply
    237.50x = 343.56 × 343.56
  4. Step 4: Simplify right side
    237.50x = 118,035.19
  5. Step 5: Solve for x
    x = 118,035.19/237.50
  6. Step 6: Final answer
    x = 496.99

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.