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Finding the Third Proportional to 179,904 and 259,908

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Solution

The third proportional to 179,904 and 259,908 is: 375,490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,904 : 259,908 = 259,908 : x
  2. Step 2: Convert to fraction form
    179,904/259,908 = 259,908/x
  3. Step 3: Cross multiply
    179,904x = 259,908 × 259,908
  4. Step 4: Simplify right side
    179,904x = 67,552,168,464
  5. Step 5: Solve for x
    x = 67,552,168,464/179,904
  6. Step 6: Final answer
    x = 375,490.09

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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.