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Finding the Third Proportional to 104,946 and 225,444

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Solution

The third proportional to 104,946 and 225,444 is: 484,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,946 : 225,444 = 225,444 : x
  2. Step 2: Convert to fraction form
    104,946/225,444 = 225,444/x
  3. Step 3: Cross multiply
    104,946x = 225,444 × 225,444
  4. Step 4: Simplify right side
    104,946x = 50,824,997,136
  5. Step 5: Solve for x
    x = 50,824,997,136/104,946
  6. Step 6: Final answer
    x = 484,296.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.