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Finding the Third Proportional to 133,322 and 187,508

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Solution

The third proportional to 133,322 and 187,508 is: 263,716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,322 : 187,508 = 187,508 : x
  2. Step 2: Convert to fraction form
    133,322/187,508 = 187,508/x
  3. Step 3: Cross multiply
    133,322x = 187,508 × 187,508
  4. Step 4: Simplify right side
    133,322x = 35,159,250,064
  5. Step 5: Solve for x
    x = 35,159,250,064/133,322
  6. Step 6: Final answer
    x = 263,716.79

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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.