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Finding the Third Proportional to 133,599.38 and 178,453.13

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Solution

The third proportional to 133,599.38 and 178,453.13 is: 238,365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,599.38 : 178,453.13 = 178,453.13 : x
  2. Step 2: Convert to fraction form
    133,599.38/178,453.13 = 178,453.13/x
  3. Step 3: Cross multiply
    133,599.38x = 178,453.13 × 178,453.13
  4. Step 4: Simplify right side
    133,599.38x = 31,845,517,822.27
  5. Step 5: Solve for x
    x = 31,845,517,822.27/133,599.38
  6. Step 6: Final answer
    x = 238,365.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.