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Finding the Third Proportional to 171,410.50 and 369,163

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Solution

The third proportional to 171,410.50 and 369,163 is: 795,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,410.50 : 369,163 = 369,163 : x
  2. Step 2: Convert to fraction form
    171,410.50/369,163 = 369,163/x
  3. Step 3: Cross multiply
    171,410.50x = 369,163 × 369,163
  4. Step 4: Simplify right side
    171,410.50x = 136,281,320,569
  5. Step 5: Solve for x
    x = 136,281,320,569/171,410.50
  6. Step 6: Final answer
    x = 795,058.18

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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.