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Finding the Third Proportional to 250.63 and 351.88

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Solution

The third proportional to 250.63 and 351.88 is: 494.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.63 : 351.88 = 351.88 : x
  2. Step 2: Convert to fraction form
    250.63/351.88 = 351.88/x
  3. Step 3: Cross multiply
    250.63x = 351.88 × 351.88
  4. Step 4: Simplify right side
    250.63x = 123,816.02
  5. Step 5: Solve for x
    x = 123,816.02/250.63
  6. Step 6: Final answer
    x = 494.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.