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Finding the Third Proportional to 254.91 and 386.02

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Solution

The third proportional to 254.91 and 386.02 is: 584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.91 : 386.02 = 386.02 : x
  2. Step 2: Convert to fraction form
    254.91/386.02 = 386.02/x
  3. Step 3: Cross multiply
    254.91x = 386.02 × 386.02
  4. Step 4: Simplify right side
    254.91x = 149,008.06
  5. Step 5: Solve for x
    x = 149,008.06/254.91
  6. Step 6: Final answer
    x = 584.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.