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Finding the Third Proportional to 76,356.50 and 166,265.75

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Solution

The third proportional to 76,356.50 and 166,265.75 is: 362,042.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,356.50 : 166,265.75 = 166,265.75 : x
  2. Step 2: Convert to fraction form
    76,356.50/166,265.75 = 166,265.75/x
  3. Step 3: Cross multiply
    76,356.50x = 166,265.75 × 166,265.75
  4. Step 4: Simplify right side
    76,356.50x = 27,644,299,623.06
  5. Step 5: Solve for x
    x = 27,644,299,623.06/76,356.50
  6. Step 6: Final answer
    x = 362,042.52

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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.