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Finding the Third Proportional to 248.77 and 345.80

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Solution

The third proportional to 248.77 and 345.80 is: 480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.77 : 345.80 = 345.80 : x
  2. Step 2: Convert to fraction form
    248.77/345.80 = 345.80/x
  3. Step 3: Cross multiply
    248.77x = 345.80 × 345.80
  4. Step 4: Simplify right side
    248.77x = 119,575.48
  5. Step 5: Solve for x
    x = 119,575.48/248.77
  6. Step 6: Final answer
    x = 480.68

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.