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Finding the Third Proportional to 167,329 and 358,922

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Solution

The third proportional to 167,329 and 358,922 is: 769,890.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,329 : 358,922 = 358,922 : x
  2. Step 2: Convert to fraction form
    167,329/358,922 = 358,922/x
  3. Step 3: Cross multiply
    167,329x = 358,922 × 358,922
  4. Step 4: Simplify right side
    167,329x = 128,825,002,084
  5. Step 5: Solve for x
    x = 128,825,002,084/167,329
  6. Step 6: Final answer
    x = 769,890.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.