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Finding the Third Proportional to 133,428.75 and 202,892.75

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Solution

The third proportional to 133,428.75 and 202,892.75 is: 308,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,428.75 : 202,892.75 = 202,892.75 : x
  2. Step 2: Convert to fraction form
    133,428.75/202,892.75 = 202,892.75/x
  3. Step 3: Cross multiply
    133,428.75x = 202,892.75 × 202,892.75
  4. Step 4: Simplify right side
    133,428.75x = 41,165,468,002.56
  5. Step 5: Solve for x
    x = 41,165,468,002.56/133,428.75
  6. Step 6: Final answer
    x = 308,520.23

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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.