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Finding the Third Proportional to 76,381.50 and 166,317

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Solution

The third proportional to 76,381.50 and 166,317 is: 362,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,381.50 : 166,317 = 166,317 : x
  2. Step 2: Convert to fraction form
    76,381.50/166,317 = 166,317/x
  3. Step 3: Cross multiply
    76,381.50x = 166,317 × 166,317
  4. Step 4: Simplify right side
    76,381.50x = 27,661,344,489
  5. Step 5: Solve for x
    x = 27,661,344,489/76,381.50
  6. Step 6: Final answer
    x = 362,147.18

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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.