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Finding the Third Proportional to 202,012 and 303,018

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Solution

The third proportional to 202,012 and 303,018 is: 454,527

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,012 : 303,018 = 303,018 : x
  2. Step 2: Convert to fraction form
    202,012/303,018 = 303,018/x
  3. Step 3: Cross multiply
    202,012x = 303,018 × 303,018
  4. Step 4: Simplify right side
    202,012x = 91,819,908,324
  5. Step 5: Solve for x
    x = 91,819,908,324/202,012
  6. Step 6: Final answer
    x = 454,527

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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.