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Finding the Third Proportional to 160,850 and 339,844

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Solution

The third proportional to 160,850 and 339,844 is: 718,022.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,850 : 339,844 = 339,844 : x
  2. Step 2: Convert to fraction form
    160,850/339,844 = 339,844/x
  3. Step 3: Cross multiply
    160,850x = 339,844 × 339,844
  4. Step 4: Simplify right side
    160,850x = 115,493,944,336
  5. Step 5: Solve for x
    x = 115,493,944,336/160,850
  6. Step 6: Final answer
    x = 718,022.66

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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.