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Finding the Third Proportional to 159,890 and 325,324

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Solution

The third proportional to 159,890 and 325,324 is: 661,928.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,890 : 325,324 = 325,324 : x
  2. Step 2: Convert to fraction form
    159,890/325,324 = 325,324/x
  3. Step 3: Cross multiply
    159,890x = 325,324 × 325,324
  4. Step 4: Simplify right side
    159,890x = 105,835,704,976
  5. Step 5: Solve for x
    x = 105,835,704,976/159,890
  6. Step 6: Final answer
    x = 661,928.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.