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Finding the Third Proportional to 166,584.75 and 243,629.25

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Solution

The third proportional to 166,584.75 and 243,629.25 is: 356,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,584.75 : 243,629.25 = 243,629.25 : x
  2. Step 2: Convert to fraction form
    166,584.75/243,629.25 = 243,629.25/x
  3. Step 3: Cross multiply
    166,584.75x = 243,629.25 × 243,629.25
  4. Step 4: Simplify right side
    166,584.75x = 59,355,211,455.56
  5. Step 5: Solve for x
    x = 59,355,211,455.56/166,584.75
  6. Step 6: Final answer
    x = 356,306.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.