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Finding the Third Proportional to 133.52 and 277.80

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Solution

The third proportional to 133.52 and 277.80 is: 577.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.52 : 277.80 = 277.80 : x
  2. Step 2: Convert to fraction form
    133.52/277.80 = 277.80/x
  3. Step 3: Cross multiply
    133.52x = 277.80 × 277.80
  4. Step 4: Simplify right side
    133.52x = 77,175.44
  5. Step 5: Solve for x
    x = 77,175.44/133.52
  6. Step 6: Final answer
    x = 577.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.