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Finding the Third Proportional to 320.06 and 419.91

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Solution

The third proportional to 320.06 and 419.91 is: 550.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.06 : 419.91 = 419.91 : x
  2. Step 2: Convert to fraction form
    320.06/419.91 = 419.91/x
  3. Step 3: Cross multiply
    320.06x = 419.91 × 419.91
  4. Step 4: Simplify right side
    320.06x = 176,321.26
  5. Step 5: Solve for x
    x = 176,321.26/320.06
  6. Step 6: Final answer
    x = 550.90

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.