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Finding the Third Proportional to 171,537.75 and 376,193.25

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Solution

The third proportional to 171,537.75 and 376,193.25 is: 825,015.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,537.75 : 376,193.25 = 376,193.25 : x
  2. Step 2: Convert to fraction form
    171,537.75/376,193.25 = 376,193.25/x
  3. Step 3: Cross multiply
    171,537.75x = 376,193.25 × 376,193.25
  4. Step 4: Simplify right side
    171,537.75x = 141,521,361,345.56
  5. Step 5: Solve for x
    x = 141,521,361,345.56/171,537.75
  6. Step 6: Final answer
    x = 825,015.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.