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Finding the Third Proportional to 250.50 and 428.88

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Solution

The third proportional to 250.50 and 428.88 is: 734.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.50 : 428.88 = 428.88 : x
  2. Step 2: Convert to fraction form
    250.50/428.88 = 428.88/x
  3. Step 3: Cross multiply
    250.50x = 428.88 × 428.88
  4. Step 4: Simplify right side
    250.50x = 183,933.77
  5. Step 5: Solve for x
    x = 183,933.77/250.50
  6. Step 6: Final answer
    x = 734.27

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.