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Finding the Third Proportional to 104,619 and 226,623

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Solution

The third proportional to 104,619 and 226,623 is: 490,904.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,619 : 226,623 = 226,623 : x
  2. Step 2: Convert to fraction form
    104,619/226,623 = 226,623/x
  3. Step 3: Cross multiply
    104,619x = 226,623 × 226,623
  4. Step 4: Simplify right side
    104,619x = 51,357,984,129
  5. Step 5: Solve for x
    x = 51,357,984,129/104,619
  6. Step 6: Final answer
    x = 490,904.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.