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Finding the Third Proportional to 181,046.50 and 273,899

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Solution

The third proportional to 181,046.50 and 273,899 is: 414,372.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,046.50 : 273,899 = 273,899 : x
  2. Step 2: Convert to fraction form
    181,046.50/273,899 = 273,899/x
  3. Step 3: Cross multiply
    181,046.50x = 273,899 × 273,899
  4. Step 4: Simplify right side
    181,046.50x = 75,020,662,201
  5. Step 5: Solve for x
    x = 75,020,662,201/181,046.50
  6. Step 6: Final answer
    x = 414,372.34

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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.