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Finding the Third Proportional to 248.81 and 423.19

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Solution

The third proportional to 248.81 and 423.19 is: 719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.81 : 423.19 = 423.19 : x
  2. Step 2: Convert to fraction form
    248.81/423.19 = 423.19/x
  3. Step 3: Cross multiply
    248.81x = 423.19 × 423.19
  4. Step 4: Simplify right side
    248.81x = 179,087.66
  5. Step 5: Solve for x
    x = 179,087.66/248.81
  6. Step 6: Final answer
    x = 719.77

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.