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Finding the Third Proportional to 179,896 and 259,896

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Solution

The third proportional to 179,896 and 259,896 is: 375,472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,896 : 259,896 = 259,896 : x
  2. Step 2: Convert to fraction form
    179,896/259,896 = 259,896/x
  3. Step 3: Cross multiply
    179,896x = 259,896 × 259,896
  4. Step 4: Simplify right side
    179,896x = 67,545,930,816
  5. Step 5: Solve for x
    x = 67,545,930,816/179,896
  6. Step 6: Final answer
    x = 375,472.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.