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Finding the Third Proportional to 101.94 and 237.78

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Solution

The third proportional to 101.94 and 237.78 is: 554.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.94 : 237.78 = 237.78 : x
  2. Step 2: Convert to fraction form
    101.94/237.78 = 237.78/x
  3. Step 3: Cross multiply
    101.94x = 237.78 × 237.78
  4. Step 4: Simplify right side
    101.94x = 56,539.92
  5. Step 5: Solve for x
    x = 56,539.92/101.94
  6. Step 6: Final answer
    x = 554.65

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.