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Finding the Third Proportional to 181,764 and 396,127.13

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Solution

The third proportional to 181,764 and 396,127.13 is: 863,299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,764 : 396,127.13 = 396,127.13 : x
  2. Step 2: Convert to fraction form
    181,764/396,127.13 = 396,127.13/x
  3. Step 3: Cross multiply
    181,764x = 396,127.13 × 396,127.13
  4. Step 4: Simplify right side
    181,764x = 156,916,699,160.77
  5. Step 5: Solve for x
    x = 156,916,699,160.77/181,764
  6. Step 6: Final answer
    x = 863,299.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.