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Finding the Third Proportional to 159,418 and 336,829

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Solution

The third proportional to 159,418 and 336,829 is: 711,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,418 : 336,829 = 336,829 : x
  2. Step 2: Convert to fraction form
    159,418/336,829 = 336,829/x
  3. Step 3: Cross multiply
    159,418x = 336,829 × 336,829
  4. Step 4: Simplify right side
    159,418x = 113,453,775,241
  5. Step 5: Solve for x
    x = 113,453,775,241/159,418
  6. Step 6: Final answer
    x = 711,674.81

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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.