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Finding the Third Proportional to 169,901 and 365,838

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Solution

The third proportional to 169,901 and 365,838 is: 787,737.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,901 : 365,838 = 365,838 : x
  2. Step 2: Convert to fraction form
    169,901/365,838 = 365,838/x
  3. Step 3: Cross multiply
    169,901x = 365,838 × 365,838
  4. Step 4: Simplify right side
    169,901x = 133,837,442,244
  5. Step 5: Solve for x
    x = 133,837,442,244/169,901
  6. Step 6: Final answer
    x = 787,737.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.