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Finding the Third Proportional to 231.47 and 351.98

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Solution

The third proportional to 231.47 and 351.98 is: 535.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.47 : 351.98 = 351.98 : x
  2. Step 2: Convert to fraction form
    231.47/351.98 = 351.98/x
  3. Step 3: Cross multiply
    231.47x = 351.98 × 351.98
  4. Step 4: Simplify right side
    231.47x = 123,893.00
  5. Step 5: Solve for x
    x = 123,893.00/231.47
  6. Step 6: Final answer
    x = 535.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.