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Finding the Third Proportional to 181,914 and 371,226

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Solution

The third proportional to 181,914 and 371,226 is: 757,548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,914 : 371,226 = 371,226 : x
  2. Step 2: Convert to fraction form
    181,914/371,226 = 371,226/x
  3. Step 3: Cross multiply
    181,914x = 371,226 × 371,226
  4. Step 4: Simplify right side
    181,914x = 137,808,743,076
  5. Step 5: Solve for x
    x = 137,808,743,076/181,914
  6. Step 6: Final answer
    x = 757,548.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.