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Finding the Third Proportional to 155,923 and 336,791

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Solution

The third proportional to 155,923 and 336,791 is: 727,462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,923 : 336,791 = 336,791 : x
  2. Step 2: Convert to fraction form
    155,923/336,791 = 336,791/x
  3. Step 3: Cross multiply
    155,923x = 336,791 × 336,791
  4. Step 4: Simplify right side
    155,923x = 113,428,177,681
  5. Step 5: Solve for x
    x = 113,428,177,681/155,923
  6. Step 6: Final answer
    x = 727,462.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.