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Finding the Third Proportional to 289.31 and 382.03

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Solution

The third proportional to 289.31 and 382.03 is: 504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.31 : 382.03 = 382.03 : x
  2. Step 2: Convert to fraction form
    289.31/382.03 = 382.03/x
  3. Step 3: Cross multiply
    289.31x = 382.03 × 382.03
  4. Step 4: Simplify right side
    289.31x = 145,947.88
  5. Step 5: Solve for x
    x = 145,947.88/289.31
  6. Step 6: Final answer
    x = 504.46

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.