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Finding the Third Proportional to 210,198 and 461,273

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Solution

The third proportional to 210,198 and 461,273 is: 1,012,249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,198 : 461,273 = 461,273 : x
  2. Step 2: Convert to fraction form
    210,198/461,273 = 461,273/x
  3. Step 3: Cross multiply
    210,198x = 461,273 × 461,273
  4. Step 4: Simplify right side
    210,198x = 212,772,780,529
  5. Step 5: Solve for x
    x = 212,772,780,529/210,198
  6. Step 6: Final answer
    x = 1,012,249.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.