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Finding the Third Proportional to 171,625.50 and 369,078.75

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Solution

The third proportional to 171,625.50 and 369,078.75 is: 793,699.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,625.50 : 369,078.75 = 369,078.75 : x
  2. Step 2: Convert to fraction form
    171,625.50/369,078.75 = 369,078.75/x
  3. Step 3: Cross multiply
    171,625.50x = 369,078.75 × 369,078.75
  4. Step 4: Simplify right side
    171,625.50x = 136,219,123,701.56
  5. Step 5: Solve for x
    x = 136,219,123,701.56/171,625.50
  6. Step 6: Final answer
    x = 793,699.79

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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.