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Finding the Third Proportional to 77,236 and 167,504

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Solution

The third proportional to 77,236 and 167,504 is: 363,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,236 : 167,504 = 167,504 : x
  2. Step 2: Convert to fraction form
    77,236/167,504 = 167,504/x
  3. Step 3: Cross multiply
    77,236x = 167,504 × 167,504
  4. Step 4: Simplify right side
    77,236x = 28,057,590,016
  5. Step 5: Solve for x
    x = 28,057,590,016/77,236
  6. Step 6: Final answer
    x = 363,270.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.