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Finding the Third Proportional to 104,464 and 246,556

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Solution

The third proportional to 104,464 and 246,556 is: 581,921.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,464 : 246,556 = 246,556 : x
  2. Step 2: Convert to fraction form
    104,464/246,556 = 246,556/x
  3. Step 3: Cross multiply
    104,464x = 246,556 × 246,556
  4. Step 4: Simplify right side
    104,464x = 60,789,861,136
  5. Step 5: Solve for x
    x = 60,789,861,136/104,464
  6. Step 6: Final answer
    x = 581,921.63

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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.