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Finding the Third Proportional to 202,816 and 303,916

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Solution

The third proportional to 202,816 and 303,916 is: 455,412.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,816 : 303,916 = 303,916 : x
  2. Step 2: Convert to fraction form
    202,816/303,916 = 303,916/x
  3. Step 3: Cross multiply
    202,816x = 303,916 × 303,916
  4. Step 4: Simplify right side
    202,816x = 92,364,935,056
  5. Step 5: Solve for x
    x = 92,364,935,056/202,816
  6. Step 6: Final answer
    x = 455,412.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.