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Finding the Third Proportional to 163,804 and 246,861

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Solution

The third proportional to 163,804 and 246,861 is: 372,032.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,804 : 246,861 = 246,861 : x
  2. Step 2: Convert to fraction form
    163,804/246,861 = 246,861/x
  3. Step 3: Cross multiply
    163,804x = 246,861 × 246,861
  4. Step 4: Simplify right side
    163,804x = 60,940,353,321
  5. Step 5: Solve for x
    x = 60,940,353,321/163,804
  6. Step 6: Final answer
    x = 372,032.14

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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.