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Finding the Third Proportional to 133.13 and 281.92

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Solution

The third proportional to 133.13 and 281.92 is: 597.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.13 : 281.92 = 281.92 : x
  2. Step 2: Convert to fraction form
    133.13/281.92 = 281.92/x
  3. Step 3: Cross multiply
    133.13x = 281.92 × 281.92
  4. Step 4: Simplify right side
    133.13x = 79,477.74
  5. Step 5: Solve for x
    x = 79,477.74/133.13
  6. Step 6: Final answer
    x = 597.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.