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Finding the Third Proportional to 170,379 and 375,021

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Solution

The third proportional to 170,379 and 375,021 is: 825,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,379 : 375,021 = 375,021 : x
  2. Step 2: Convert to fraction form
    170,379/375,021 = 375,021/x
  3. Step 3: Cross multiply
    170,379x = 375,021 × 375,021
  4. Step 4: Simplify right side
    170,379x = 140,640,750,441
  5. Step 5: Solve for x
    x = 140,640,750,441/170,379
  6. Step 6: Final answer
    x = 825,458.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.