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Finding the Third Proportional to 239.75 and 375.63

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Solution

The third proportional to 239.75 and 375.63 is: 588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.75 : 375.63 = 375.63 : x
  2. Step 2: Convert to fraction form
    239.75/375.63 = 375.63/x
  3. Step 3: Cross multiply
    239.75x = 375.63 × 375.63
  4. Step 4: Simplify right side
    239.75x = 141,094.14
  5. Step 5: Solve for x
    x = 141,094.14/239.75
  6. Step 6: Final answer
    x = 588.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.