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Finding the Third Proportional to 171,406.75 and 369,153.75

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Solution

The third proportional to 171,406.75 and 369,153.75 is: 795,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,406.75 : 369,153.75 = 369,153.75 : x
  2. Step 2: Convert to fraction form
    171,406.75/369,153.75 = 369,153.75/x
  3. Step 3: Cross multiply
    171,406.75x = 369,153.75 × 369,153.75
  4. Step 4: Simplify right side
    171,406.75x = 136,274,491,139.06
  5. Step 5: Solve for x
    x = 136,274,491,139.06/171,406.75
  6. Step 6: Final answer
    x = 795,035.73

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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.