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Finding the Third Proportional to 104,608 and 226,924

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Solution

The third proportional to 104,608 and 226,924 is: 492,261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,608 : 226,924 = 226,924 : x
  2. Step 2: Convert to fraction form
    104,608/226,924 = 226,924/x
  3. Step 3: Cross multiply
    104,608x = 226,924 × 226,924
  4. Step 4: Simplify right side
    104,608x = 51,494,501,776
  5. Step 5: Solve for x
    x = 51,494,501,776/104,608
  6. Step 6: Final answer
    x = 492,261.60

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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.