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Finding the Third Proportional to 76,399 and 158,184

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Solution

The third proportional to 76,399 and 158,184 is: 327,519.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,399 : 158,184 = 158,184 : x
  2. Step 2: Convert to fraction form
    76,399/158,184 = 158,184/x
  3. Step 3: Cross multiply
    76,399x = 158,184 × 158,184
  4. Step 4: Simplify right side
    76,399x = 25,022,177,856
  5. Step 5: Solve for x
    x = 25,022,177,856/76,399
  6. Step 6: Final answer
    x = 327,519.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.