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Finding the Third Proportional to 276,176.25 and 374,837.63

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Solution

The third proportional to 276,176.25 and 374,837.63 is: 508,744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,176.25 : 374,837.63 = 374,837.63 : x
  2. Step 2: Convert to fraction form
    276,176.25/374,837.63 = 374,837.63/x
  3. Step 3: Cross multiply
    276,176.25x = 374,837.63 × 374,837.63
  4. Step 4: Simplify right side
    276,176.25x = 140,503,245,115.64
  5. Step 5: Solve for x
    x = 140,503,245,115.64/276,176.25
  6. Step 6: Final answer
    x = 508,744.85

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.