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Finding the Third Proportional to 159,206 and 334,796

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Solution

The third proportional to 159,206 and 334,796 is: 704,046.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,206 : 334,796 = 334,796 : x
  2. Step 2: Convert to fraction form
    159,206/334,796 = 334,796/x
  3. Step 3: Cross multiply
    159,206x = 334,796 × 334,796
  4. Step 4: Simplify right side
    159,206x = 112,088,361,616
  5. Step 5: Solve for x
    x = 112,088,361,616/159,206
  6. Step 6: Final answer
    x = 704,046.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.