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Finding the Third Proportional to 169,092 and 364,800

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Solution

The third proportional to 169,092 and 364,800 is: 787,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,092 : 364,800 = 364,800 : x
  2. Step 2: Convert to fraction form
    169,092/364,800 = 364,800/x
  3. Step 3: Cross multiply
    169,092x = 364,800 × 364,800
  4. Step 4: Simplify right side
    169,092x = 133,079,040,000
  5. Step 5: Solve for x
    x = 133,079,040,000/169,092
  6. Step 6: Final answer
    x = 787,021.50

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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.