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Finding the Third Proportional to 364 and 386

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Solution

The third proportional to 364 and 386 is: 409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    364 : 386 = 386 : x
  2. Step 2: Convert to fraction form
    364/386 = 386/x
  3. Step 3: Cross multiply
    364x = 386 × 386
  4. Step 4: Simplify right side
    364x = 148,996
  5. Step 5: Solve for x
    x = 148,996/364
  6. Step 6: Final answer
    x = 409.33

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These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.