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Finding the Third Proportional to 251.50 and 323.88

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Solution

The third proportional to 251.50 and 323.88 is: 417.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.50 : 323.88 = 323.88 : x
  2. Step 2: Convert to fraction form
    251.50/323.88 = 323.88/x
  3. Step 3: Cross multiply
    251.50x = 323.88 × 323.88
  4. Step 4: Simplify right side
    251.50x = 104,895.02
  5. Step 5: Solve for x
    x = 104,895.02/251.50
  6. Step 6: Final answer
    x = 417.08

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.