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Finding the Third Proportional to 146.84 and 322.73

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Solution

The third proportional to 146.84 and 322.73 is: 709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.84 : 322.73 = 322.73 : x
  2. Step 2: Convert to fraction form
    146.84/322.73 = 322.73/x
  3. Step 3: Cross multiply
    146.84x = 322.73 × 322.73
  4. Step 4: Simplify right side
    146.84x = 104,157.48
  5. Step 5: Solve for x
    x = 104,157.48/146.84
  6. Step 6: Final answer
    x = 709.35

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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.