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Finding the Third Proportional to 163,174.50 and 356,238

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Solution

The third proportional to 163,174.50 and 356,238 is: 777,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,174.50 : 356,238 = 356,238 : x
  2. Step 2: Convert to fraction form
    163,174.50/356,238 = 356,238/x
  3. Step 3: Cross multiply
    163,174.50x = 356,238 × 356,238
  4. Step 4: Simplify right side
    163,174.50x = 126,905,512,644
  5. Step 5: Solve for x
    x = 126,905,512,644/163,174.50
  6. Step 6: Final answer
    x = 777,728.83

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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.