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Finding the Third Proportional to 163,822 and 246,886

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Solution

The third proportional to 163,822 and 246,886 is: 372,066.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,822 : 246,886 = 246,886 : x
  2. Step 2: Convert to fraction form
    163,822/246,886 = 246,886/x
  3. Step 3: Cross multiply
    163,822x = 246,886 × 246,886
  4. Step 4: Simplify right side
    163,822x = 60,952,696,996
  5. Step 5: Solve for x
    x = 60,952,696,996/163,822
  6. Step 6: Final answer
    x = 372,066.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.