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Finding the Third Proportional to 176,542.03 and 226,675.97

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Solution

The third proportional to 176,542.03 and 226,675.97 is: 291,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,542.03 : 226,675.97 = 226,675.97 : x
  2. Step 2: Convert to fraction form
    176,542.03/226,675.97 = 226,675.97/x
  3. Step 3: Cross multiply
    176,542.03x = 226,675.97 × 226,675.97
  4. Step 4: Simplify right side
    176,542.03x = 51,381,994,808.75
  5. Step 5: Solve for x
    x = 51,381,994,808.75/176,542.03
  6. Step 6: Final answer
    x = 291,046.81

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.