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Finding the Third Proportional to 179,121 and 261,297.75

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Solution

The third proportional to 179,121 and 261,297.75 is: 381,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,121 : 261,297.75 = 261,297.75 : x
  2. Step 2: Convert to fraction form
    179,121/261,297.75 = 261,297.75/x
  3. Step 3: Cross multiply
    179,121x = 261,297.75 × 261,297.75
  4. Step 4: Simplify right side
    179,121x = 68,276,514,155.06
  5. Step 5: Solve for x
    x = 68,276,514,155.06/179,121
  6. Step 6: Final answer
    x = 381,175.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.