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Finding the Third Proportional to 167,544 and 339,948

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Solution

The third proportional to 167,544 and 339,948 is: 689,756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,544 : 339,948 = 339,948 : x
  2. Step 2: Convert to fraction form
    167,544/339,948 = 339,948/x
  3. Step 3: Cross multiply
    167,544x = 339,948 × 339,948
  4. Step 4: Simplify right side
    167,544x = 115,564,642,704
  5. Step 5: Solve for x
    x = 115,564,642,704/167,544
  6. Step 6: Final answer
    x = 689,756.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.