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Finding the Third Proportional to 253,143.50 and 356,078

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Solution

The third proportional to 253,143.50 and 356,078 is: 500,868.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,143.50 : 356,078 = 356,078 : x
  2. Step 2: Convert to fraction form
    253,143.50/356,078 = 356,078/x
  3. Step 3: Cross multiply
    253,143.50x = 356,078 × 356,078
  4. Step 4: Simplify right side
    253,143.50x = 126,791,542,084
  5. Step 5: Solve for x
    x = 126,791,542,084/253,143.50
  6. Step 6: Final answer
    x = 500,868.25

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.