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Finding the Third Proportional to 104,297 and 229,324

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Solution

The third proportional to 104,297 and 229,324 is: 504,228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,297 : 229,324 = 229,324 : x
  2. Step 2: Convert to fraction form
    104,297/229,324 = 229,324/x
  3. Step 3: Cross multiply
    104,297x = 229,324 × 229,324
  4. Step 4: Simplify right side
    104,297x = 52,589,496,976
  5. Step 5: Solve for x
    x = 52,589,496,976/104,297
  6. Step 6: Final answer
    x = 504,228.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.