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Finding the Third Proportional to 300.04 and 332.47

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Solution

The third proportional to 300.04 and 332.47 is: 368.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.04 : 332.47 = 332.47 : x
  2. Step 2: Convert to fraction form
    300.04/332.47 = 332.47/x
  3. Step 3: Cross multiply
    300.04x = 332.47 × 332.47
  4. Step 4: Simplify right side
    300.04x = 110,539.62
  5. Step 5: Solve for x
    x = 110,539.62/300.04
  6. Step 6: Final answer
    x = 368.42

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.