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Finding the Third Proportional to 146.41 and 322.24

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Solution

The third proportional to 146.41 and 322.24 is: 709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.41 : 322.24 = 322.24 : x
  2. Step 2: Convert to fraction form
    146.41/322.24 = 322.24/x
  3. Step 3: Cross multiply
    146.41x = 322.24 × 322.24
  4. Step 4: Simplify right side
    146.41x = 103,840.03
  5. Step 5: Solve for x
    x = 103,840.03/146.41
  6. Step 6: Final answer
    x = 709.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.