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Finding the Third Proportional to 263.71 and 386.96

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Solution

The third proportional to 263.71 and 386.96 is: 567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.71 : 386.96 = 386.96 : x
  2. Step 2: Convert to fraction form
    263.71/386.96 = 386.96/x
  3. Step 3: Cross multiply
    263.71x = 386.96 × 386.96
  4. Step 4: Simplify right side
    263.71x = 149,741.79
  5. Step 5: Solve for x
    x = 149,741.79/263.71
  6. Step 6: Final answer
    x = 567.83

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.