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Finding the Third Proportional to 133,251 and 202,605

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Solution

The third proportional to 133,251 and 202,605 is: 308,056.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,251 : 202,605 = 202,605 : x
  2. Step 2: Convert to fraction form
    133,251/202,605 = 202,605/x
  3. Step 3: Cross multiply
    133,251x = 202,605 × 202,605
  4. Step 4: Simplify right side
    133,251x = 41,048,786,025
  5. Step 5: Solve for x
    x = 41,048,786,025/133,251
  6. Step 6: Final answer
    x = 308,056.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.