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Finding the Third Proportional to 171,509.91 and 251,113.92

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Solution

The third proportional to 171,509.91 and 251,113.92 is: 367,665.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,509.91 : 251,113.92 = 251,113.92 : x
  2. Step 2: Convert to fraction form
    171,509.91/251,113.92 = 251,113.92/x
  3. Step 3: Cross multiply
    171,509.91x = 251,113.92 × 251,113.92
  4. Step 4: Simplify right side
    171,509.91x = 63,058,201,759.44
  5. Step 5: Solve for x
    x = 63,058,201,759.44/171,509.91
  6. Step 6: Final answer
    x = 367,665.07

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.