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Finding the Third Proportional to 202,038 and 303,057

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Solution

The third proportional to 202,038 and 303,057 is: 454,585.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,038 : 303,057 = 303,057 : x
  2. Step 2: Convert to fraction form
    202,038/303,057 = 303,057/x
  3. Step 3: Cross multiply
    202,038x = 303,057 × 303,057
  4. Step 4: Simplify right side
    202,038x = 91,843,545,249
  5. Step 5: Solve for x
    x = 91,843,545,249/202,038
  6. Step 6: Final answer
    x = 454,585.50

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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.