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Finding the Third Proportional to 250.03 and 380.77

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Solution

The third proportional to 250.03 and 380.77 is: 579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.03 : 380.77 = 380.77 : x
  2. Step 2: Convert to fraction form
    250.03/380.77 = 380.77/x
  3. Step 3: Cross multiply
    250.03x = 380.77 × 380.77
  4. Step 4: Simplify right side
    250.03x = 144,982.46
  5. Step 5: Solve for x
    x = 144,982.46/250.03
  6. Step 6: Final answer
    x = 579.86

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