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Finding the Third Proportional to 118,222.50 and 166,276.50

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Solution

The third proportional to 118,222.50 and 166,276.50 is: 233,863.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,222.50 : 166,276.50 = 166,276.50 : x
  2. Step 2: Convert to fraction form
    118,222.50/166,276.50 = 166,276.50/x
  3. Step 3: Cross multiply
    118,222.50x = 166,276.50 × 166,276.50
  4. Step 4: Simplify right side
    118,222.50x = 27,647,874,452.25
  5. Step 5: Solve for x
    x = 27,647,874,452.25/118,222.50
  6. Step 6: Final answer
    x = 233,863.05

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.