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Finding the Third Proportional to 166,029.75 and 232,976.25

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Solution

The third proportional to 166,029.75 and 232,976.25 is: 326,916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,029.75 : 232,976.25 = 232,976.25 : x
  2. Step 2: Convert to fraction form
    166,029.75/232,976.25 = 232,976.25/x
  3. Step 3: Cross multiply
    166,029.75x = 232,976.25 × 232,976.25
  4. Step 4: Simplify right side
    166,029.75x = 54,277,933,064.06
  5. Step 5: Solve for x
    x = 54,277,933,064.06/166,029.75
  6. Step 6: Final answer
    x = 326,916.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.