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Finding the Third Proportional to 104,466 and 246,561

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Solution

The third proportional to 104,466 and 246,561 is: 581,934.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,466 : 246,561 = 246,561 : x
  2. Step 2: Convert to fraction form
    104,466/246,561 = 246,561/x
  3. Step 3: Cross multiply
    104,466x = 246,561 × 246,561
  4. Step 4: Simplify right side
    104,466x = 60,792,326,721
  5. Step 5: Solve for x
    x = 60,792,326,721/104,466
  6. Step 6: Final answer
    x = 581,934.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.