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Finding the Third Proportional to 159,888 and 325,320

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Solution

The third proportional to 159,888 and 325,320 is: 661,920.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,888 : 325,320 = 325,320 : x
  2. Step 2: Convert to fraction form
    159,888/325,320 = 325,320/x
  3. Step 3: Cross multiply
    159,888x = 325,320 × 325,320
  4. Step 4: Simplify right side
    159,888x = 105,833,102,400
  5. Step 5: Solve for x
    x = 105,833,102,400/159,888
  6. Step 6: Final answer
    x = 661,920.23

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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.