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Finding the Third Proportional to 167,126 and 367,324

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Solution

The third proportional to 167,126 and 367,324 is: 807,336.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,126 : 367,324 = 367,324 : x
  2. Step 2: Convert to fraction form
    167,126/367,324 = 367,324/x
  3. Step 3: Cross multiply
    167,126x = 367,324 × 367,324
  4. Step 4: Simplify right side
    167,126x = 134,926,920,976
  5. Step 5: Solve for x
    x = 134,926,920,976/167,126
  6. Step 6: Final answer
    x = 807,336.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.