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Finding the Third Proportional to 172,566.75 and 369,122.25

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Solution

The third proportional to 172,566.75 and 369,122.25 is: 789,556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,566.75 : 369,122.25 = 369,122.25 : x
  2. Step 2: Convert to fraction form
    172,566.75/369,122.25 = 369,122.25/x
  3. Step 3: Cross multiply
    172,566.75x = 369,122.25 × 369,122.25
  4. Step 4: Simplify right side
    172,566.75x = 136,251,235,445.06
  5. Step 5: Solve for x
    x = 136,251,235,445.06/172,566.75
  6. Step 6: Final answer
    x = 789,556.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.