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Finding the Third Proportional to 298.69 and 340.03

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Solution

The third proportional to 298.69 and 340.03 is: 387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.69 : 340.03 = 340.03 : x
  2. Step 2: Convert to fraction form
    298.69/340.03 = 340.03/x
  3. Step 3: Cross multiply
    298.69x = 340.03 × 340.03
  4. Step 4: Simplify right side
    298.69x = 115,621.25
  5. Step 5: Solve for x
    x = 115,621.25/298.69
  6. Step 6: Final answer
    x = 387.10

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.