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Finding the Third Proportional to 159,218 and 335,716

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Solution

The third proportional to 159,218 and 335,716 is: 707,867.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,218 : 335,716 = 335,716 : x
  2. Step 2: Convert to fraction form
    159,218/335,716 = 335,716/x
  3. Step 3: Cross multiply
    159,218x = 335,716 × 335,716
  4. Step 4: Simplify right side
    159,218x = 112,705,232,656
  5. Step 5: Solve for x
    x = 112,705,232,656/159,218
  6. Step 6: Final answer
    x = 707,867.41

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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.