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Finding the Third Proportional to 235,198 and 508,122

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Solution

The third proportional to 235,198 and 508,122 is: 1,097,747.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,198 : 508,122 = 508,122 : x
  2. Step 2: Convert to fraction form
    235,198/508,122 = 508,122/x
  3. Step 3: Cross multiply
    235,198x = 508,122 × 508,122
  4. Step 4: Simplify right side
    235,198x = 258,187,966,884
  5. Step 5: Solve for x
    x = 258,187,966,884/235,198
  6. Step 6: Final answer
    x = 1,097,747.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.