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Finding the Third Proportional to 69,478 and 163,847

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Solution

The third proportional to 69,478 and 163,847 is: 386,393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,478 : 163,847 = 163,847 : x
  2. Step 2: Convert to fraction form
    69,478/163,847 = 163,847/x
  3. Step 3: Cross multiply
    69,478x = 163,847 × 163,847
  4. Step 4: Simplify right side
    69,478x = 26,845,839,409
  5. Step 5: Solve for x
    x = 26,845,839,409/69,478
  6. Step 6: Final answer
    x = 386,393.38

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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.