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Finding the Third Proportional to 77,474 and 167,236

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Solution

The third proportional to 77,474 and 167,236 is: 360,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,474 : 167,236 = 167,236 : x
  2. Step 2: Convert to fraction form
    77,474/167,236 = 167,236/x
  3. Step 3: Cross multiply
    77,474x = 167,236 × 167,236
  4. Step 4: Simplify right side
    77,474x = 27,967,879,696
  5. Step 5: Solve for x
    x = 27,967,879,696/77,474
  6. Step 6: Final answer
    x = 360,996.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.