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Finding the Third Proportional to 159,586 and 242,836

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Solution

The third proportional to 159,586 and 242,836 is: 369,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,586 : 242,836 = 242,836 : x
  2. Step 2: Convert to fraction form
    159,586/242,836 = 242,836/x
  3. Step 3: Cross multiply
    159,586x = 242,836 × 242,836
  4. Step 4: Simplify right side
    159,586x = 58,969,322,896
  5. Step 5: Solve for x
    x = 58,969,322,896/159,586
  6. Step 6: Final answer
    x = 369,514.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.