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Finding the Third Proportional to 182,349 and 392,791.50

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Solution

The third proportional to 182,349 and 392,791.50 is: 846,098.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,349 : 392,791.50 = 392,791.50 : x
  2. Step 2: Convert to fraction form
    182,349/392,791.50 = 392,791.50/x
  3. Step 3: Cross multiply
    182,349x = 392,791.50 × 392,791.50
  4. Step 4: Simplify right side
    182,349x = 154,285,162,472.25
  5. Step 5: Solve for x
    x = 154,285,162,472.25/182,349
  6. Step 6: Final answer
    x = 846,098.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.