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Finding the Third Proportional to 167,870 and 343,497

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Solution

The third proportional to 167,870 and 343,497 is: 702,866.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,870 : 343,497 = 343,497 : x
  2. Step 2: Convert to fraction form
    167,870/343,497 = 343,497/x
  3. Step 3: Cross multiply
    167,870x = 343,497 × 343,497
  4. Step 4: Simplify right side
    167,870x = 117,990,189,009
  5. Step 5: Solve for x
    x = 117,990,189,009/167,870
  6. Step 6: Final answer
    x = 702,866.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.