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Finding the Third Proportional to 257.63 and 386.38

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Solution

The third proportional to 257.63 and 386.38 is: 579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.63 : 386.38 = 386.38 : x
  2. Step 2: Convert to fraction form
    257.63/386.38 = 386.38/x
  3. Step 3: Cross multiply
    257.63x = 386.38 × 386.38
  4. Step 4: Simplify right side
    257.63x = 149,285.64
  5. Step 5: Solve for x
    x = 149,285.64/257.63
  6. Step 6: Final answer
    x = 579.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.