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Finding the Third Proportional to 159,192 and 335,664

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Solution

The third proportional to 159,192 and 335,664 is: 707,763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,192 : 335,664 = 335,664 : x
  2. Step 2: Convert to fraction form
    159,192/335,664 = 335,664/x
  3. Step 3: Cross multiply
    159,192x = 335,664 × 335,664
  4. Step 4: Simplify right side
    159,192x = 112,670,320,896
  5. Step 5: Solve for x
    x = 112,670,320,896/159,192
  6. Step 6: Final answer
    x = 707,763.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.