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Finding the Third Proportional to 182,055 and 271,672.50

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Solution

The third proportional to 182,055 and 271,672.50 is: 405,404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,055 : 271,672.50 = 271,672.50 : x
  2. Step 2: Convert to fraction form
    182,055/271,672.50 = 271,672.50/x
  3. Step 3: Cross multiply
    182,055x = 271,672.50 × 271,672.50
  4. Step 4: Simplify right side
    182,055x = 73,805,947,256.25
  5. Step 5: Solve for x
    x = 73,805,947,256.25/182,055
  6. Step 6: Final answer
    x = 405,404.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.