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Finding the Third Proportional to 163,562 and 246,163

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Solution

The third proportional to 163,562 and 246,163 is: 370,478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,562 : 246,163 = 246,163 : x
  2. Step 2: Convert to fraction form
    163,562/246,163 = 246,163/x
  3. Step 3: Cross multiply
    163,562x = 246,163 × 246,163
  4. Step 4: Simplify right side
    163,562x = 60,596,222,569
  5. Step 5: Solve for x
    x = 60,596,222,569/163,562
  6. Step 6: Final answer
    x = 370,478.61

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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.