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Finding the Third Proportional to 146.48 and 322.03

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Solution

The third proportional to 146.48 and 322.03 is: 707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.48 : 322.03 = 322.03 : x
  2. Step 2: Convert to fraction form
    146.48/322.03 = 322.03/x
  3. Step 3: Cross multiply
    146.48x = 322.03 × 322.03
  4. Step 4: Simplify right side
    146.48x = 103,704.13
  5. Step 5: Solve for x
    x = 103,704.13/146.48
  6. Step 6: Final answer
    x = 707.95

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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.