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Finding the Third Proportional to 298.31 and 589.13

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Solution

The third proportional to 298.31 and 589.13 is: 1,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.31 : 589.13 = 589.13 : x
  2. Step 2: Convert to fraction form
    298.31/589.13 = 589.13/x
  3. Step 3: Cross multiply
    298.31x = 589.13 × 589.13
  4. Step 4: Simplify right side
    298.31x = 347,068.27
  5. Step 5: Solve for x
    x = 347,068.27/298.31
  6. Step 6: Final answer
    x = 1,163.44

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.