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Finding the Third Proportional to 171,782 and 374,060.75

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Solution

The third proportional to 171,782 and 374,060.75 is: 814,529.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,782 : 374,060.75 = 374,060.75 : x
  2. Step 2: Convert to fraction form
    171,782/374,060.75 = 374,060.75/x
  3. Step 3: Cross multiply
    171,782x = 374,060.75 × 374,060.75
  4. Step 4: Simplify right side
    171,782x = 139,921,444,690.56
  5. Step 5: Solve for x
    x = 139,921,444,690.56/171,782
  6. Step 6: Final answer
    x = 814,529.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.