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Finding the Third Proportional to 69,356.25 and 163,623.38

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Solution

The third proportional to 69,356.25 and 163,623.38 is: 386,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,356.25 : 163,623.38 = 163,623.38 : x
  2. Step 2: Convert to fraction form
    69,356.25/163,623.38 = 163,623.38/x
  3. Step 3: Cross multiply
    69,356.25x = 163,623.38 × 163,623.38
  4. Step 4: Simplify right side
    69,356.25x = 26,772,608,846.39
  5. Step 5: Solve for x
    x = 26,772,608,846.39/69,356.25
  6. Step 6: Final answer
    x = 386,015.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.