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Finding the Third Proportional to 219.38 and 320.06

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Solution

The third proportional to 219.38 and 320.06 is: 466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.38 : 320.06 = 320.06 : x
  2. Step 2: Convert to fraction form
    219.38/320.06 = 320.06/x
  3. Step 3: Cross multiply
    219.38x = 320.06 × 320.06
  4. Step 4: Simplify right side
    219.38x = 102,440.00
  5. Step 5: Solve for x
    x = 102,440.00/219.38
  6. Step 6: Final answer
    x = 466.96

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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.