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Finding the Third Proportional to 76,295.25 and 166,255.88

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Solution

The third proportional to 76,295.25 and 166,255.88 is: 362,290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,295.25 : 166,255.88 = 166,255.88 : x
  2. Step 2: Convert to fraction form
    76,295.25/166,255.88 = 166,255.88/x
  3. Step 3: Cross multiply
    76,295.25x = 166,255.88 × 166,255.88
  4. Step 4: Simplify right side
    76,295.25x = 27,641,015,972.02
  5. Step 5: Solve for x
    x = 27,641,015,972.02/76,295.25
  6. Step 6: Final answer
    x = 362,290.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.