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Finding the Third Proportional to 239.75 and 320.53

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Solution

The third proportional to 239.75 and 320.53 is: 428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.75 : 320.53 = 320.53 : x
  2. Step 2: Convert to fraction form
    239.75/320.53 = 320.53/x
  3. Step 3: Cross multiply
    239.75x = 320.53 × 320.53
  4. Step 4: Simplify right side
    239.75x = 102,740.28
  5. Step 5: Solve for x
    x = 102,740.28/239.75
  6. Step 6: Final answer
    x = 428.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.