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Finding the Third Proportional to 104,803 and 226,282

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Solution

The third proportional to 104,803 and 226,282 is: 488,569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,803 : 226,282 = 226,282 : x
  2. Step 2: Convert to fraction form
    104,803/226,282 = 226,282/x
  3. Step 3: Cross multiply
    104,803x = 226,282 × 226,282
  4. Step 4: Simplify right side
    104,803x = 51,203,543,524
  5. Step 5: Solve for x
    x = 51,203,543,524/104,803
  6. Step 6: Final answer
    x = 488,569.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.