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Finding the Third Proportional to 113.34 and 238.83

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Solution

The third proportional to 113.34 and 238.83 is: 503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.34 : 238.83 = 238.83 : x
  2. Step 2: Convert to fraction form
    113.34/238.83 = 238.83/x
  3. Step 3: Cross multiply
    113.34x = 238.83 × 238.83
  4. Step 4: Simplify right side
    113.34x = 57,038.87
  5. Step 5: Solve for x
    x = 57,038.87/113.34
  6. Step 6: Final answer
    x = 503.24

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.