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Finding the Third Proportional to 167,991 and 242,050

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Solution

The third proportional to 167,991 and 242,050 is: 348,757.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,991 : 242,050 = 242,050 : x
  2. Step 2: Convert to fraction form
    167,991/242,050 = 242,050/x
  3. Step 3: Cross multiply
    167,991x = 242,050 × 242,050
  4. Step 4: Simplify right side
    167,991x = 58,588,202,500
  5. Step 5: Solve for x
    x = 58,588,202,500/167,991
  6. Step 6: Final answer
    x = 348,757.98

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.