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Finding the Third Proportional to 171,168.75 and 369,402.75

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Solution

The third proportional to 171,168.75 and 369,402.75 is: 797,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,168.75 : 369,402.75 = 369,402.75 : x
  2. Step 2: Convert to fraction form
    171,168.75/369,402.75 = 369,402.75/x
  3. Step 3: Cross multiply
    171,168.75x = 369,402.75 × 369,402.75
  4. Step 4: Simplify right side
    171,168.75x = 136,458,391,707.56
  5. Step 5: Solve for x
    x = 136,458,391,707.56/171,168.75
  6. Step 6: Final answer
    x = 797,215.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.