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Finding the Third Proportional to 149,863.92 and 323,717.48

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Solution

The third proportional to 149,863.92 and 323,717.48 is: 699,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,863.92 : 323,717.48 = 323,717.48 : x
  2. Step 2: Convert to fraction form
    149,863.92/323,717.48 = 323,717.48/x
  3. Step 3: Cross multiply
    149,863.92x = 323,717.48 × 323,717.48
  4. Step 4: Simplify right side
    149,863.92x = 104,793,009,690.08
  5. Step 5: Solve for x
    x = 104,793,009,690.08/149,863.92
  6. Step 6: Final answer
    x = 699,254.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.