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Finding the Third Proportional to 239.20 and 341.72

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Solution

The third proportional to 239.20 and 341.72 is: 488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.20 : 341.72 = 341.72 : x
  2. Step 2: Convert to fraction form
    239.20/341.72 = 341.72/x
  3. Step 3: Cross multiply
    239.20x = 341.72 × 341.72
  4. Step 4: Simplify right side
    239.20x = 116,771.70
  5. Step 5: Solve for x
    x = 116,771.70/239.20
  6. Step 6: Final answer
    x = 488.17

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.