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Finding the Third Proportional to 133,428.25 and 202,892

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Solution

The third proportional to 133,428.25 and 202,892 is: 308,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,428.25 : 202,892 = 202,892 : x
  2. Step 2: Convert to fraction form
    133,428.25/202,892 = 202,892/x
  3. Step 3: Cross multiply
    133,428.25x = 202,892 × 202,892
  4. Step 4: Simplify right side
    133,428.25x = 41,165,163,664
  5. Step 5: Solve for x
    x = 41,165,163,664/133,428.25
  6. Step 6: Final answer
    x = 308,519.10

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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.