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Finding the Third Proportional to 133,186.50 and 187,353

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Solution

The third proportional to 133,186.50 and 187,353 is: 263,548.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,186.50 : 187,353 = 187,353 : x
  2. Step 2: Convert to fraction form
    133,186.50/187,353 = 187,353/x
  3. Step 3: Cross multiply
    133,186.50x = 187,353 × 187,353
  4. Step 4: Simplify right side
    133,186.50x = 35,101,146,609
  5. Step 5: Solve for x
    x = 35,101,146,609/133,186.50
  6. Step 6: Final answer
    x = 263,548.83

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.