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Finding the Third Proportional to 171,726.75 and 373,023.75

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Solution

The third proportional to 171,726.75 and 373,023.75 is: 810,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,726.75 : 373,023.75 = 373,023.75 : x
  2. Step 2: Convert to fraction form
    171,726.75/373,023.75 = 373,023.75/x
  3. Step 3: Cross multiply
    171,726.75x = 373,023.75 × 373,023.75
  4. Step 4: Simplify right side
    171,726.75x = 139,146,718,064.06
  5. Step 5: Solve for x
    x = 139,146,718,064.06/171,726.75
  6. Step 6: Final answer
    x = 810,279.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.