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Finding the Third Proportional to 181,503 and 274,707

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Solution

The third proportional to 181,503 and 274,707 is: 415,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,503 : 274,707 = 274,707 : x
  2. Step 2: Convert to fraction form
    181,503/274,707 = 274,707/x
  3. Step 3: Cross multiply
    181,503x = 274,707 × 274,707
  4. Step 4: Simplify right side
    181,503x = 75,463,935,849
  5. Step 5: Solve for x
    x = 75,463,935,849/181,503
  6. Step 6: Final answer
    x = 415,772.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.