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Finding the Third Proportional to 133,498.13 and 178,329.09

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Solution

The third proportional to 133,498.13 and 178,329.09 is: 238,215.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,498.13 : 178,329.09 = 178,329.09 : x
  2. Step 2: Convert to fraction form
    133,498.13/178,329.09 = 178,329.09/x
  3. Step 3: Cross multiply
    133,498.13x = 178,329.09 × 178,329.09
  4. Step 4: Simplify right side
    133,498.13x = 31,801,265,677.70
  5. Step 5: Solve for x
    x = 31,801,265,677.70/133,498.13
  6. Step 6: Final answer
    x = 238,215.07

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