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Finding the Third Proportional to 104,256 and 229,248

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Solution

The third proportional to 104,256 and 229,248 is: 504,092.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,256 : 229,248 = 229,248 : x
  2. Step 2: Convert to fraction form
    104,256/229,248 = 229,248/x
  3. Step 3: Cross multiply
    104,256x = 229,248 × 229,248
  4. Step 4: Simplify right side
    104,256x = 52,554,645,504
  5. Step 5: Solve for x
    x = 52,554,645,504/104,256
  6. Step 6: Final answer
    x = 504,092.29

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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.