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Finding the Third Proportional to 133,837.31 and 178,427.81

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Solution

The third proportional to 133,837.31 and 178,427.81 is: 237,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,837.31 : 178,427.81 = 178,427.81 : x
  2. Step 2: Convert to fraction form
    133,837.31/178,427.81 = 178,427.81/x
  3. Step 3: Cross multiply
    133,837.31x = 178,427.81 × 178,427.81
  4. Step 4: Simplify right side
    133,837.31x = 31,836,484,273.54
  5. Step 5: Solve for x
    x = 31,836,484,273.54/133,837.31
  6. Step 6: Final answer
    x = 237,874.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.