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Finding the Third Proportional to 230.06 and 329.91

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Solution

The third proportional to 230.06 and 329.91 is: 473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.06 : 329.91 = 329.91 : x
  2. Step 2: Convert to fraction form
    230.06/329.91 = 329.91/x
  3. Step 3: Cross multiply
    230.06x = 329.91 × 329.91
  4. Step 4: Simplify right side
    230.06x = 108,838.13
  5. Step 5: Solve for x
    x = 108,838.13/230.06
  6. Step 6: Final answer
    x = 473.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.