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Finding the Third Proportional to 146.13 and 204.88

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Solution

The third proportional to 146.13 and 204.88 is: 287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.13 : 204.88 = 204.88 : x
  2. Step 2: Convert to fraction form
    146.13/204.88 = 204.88/x
  3. Step 3: Cross multiply
    146.13x = 204.88 × 204.88
  4. Step 4: Simplify right side
    146.13x = 41,973.77
  5. Step 5: Solve for x
    x = 41,973.77/146.13
  6. Step 6: Final answer
    x = 287.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.