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Finding the Third Proportional to 232.20 and 340.06

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Solution

The third proportional to 232.20 and 340.06 is: 498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.20 : 340.06 = 340.06 : x
  2. Step 2: Convert to fraction form
    232.20/340.06 = 340.06/x
  3. Step 3: Cross multiply
    232.20x = 340.06 × 340.06
  4. Step 4: Simplify right side
    232.20x = 115,639.18
  5. Step 5: Solve for x
    x = 115,639.18/232.20
  6. Step 6: Final answer
    x = 498.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.