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Finding the Third Proportional to 259,168 and 423,198

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Solution

The third proportional to 259,168 and 423,198 is: 691,044.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,168 : 423,198 = 423,198 : x
  2. Step 2: Convert to fraction form
    259,168/423,198 = 423,198/x
  3. Step 3: Cross multiply
    259,168x = 423,198 × 423,198
  4. Step 4: Simplify right side
    259,168x = 179,096,547,204
  5. Step 5: Solve for x
    x = 179,096,547,204/259,168
  6. Step 6: Final answer
    x = 691,044.22

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.