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Finding the Third Proportional to 104,546 and 226,345

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Solution

The third proportional to 104,546 and 226,345 is: 490,043.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,546 : 226,345 = 226,345 : x
  2. Step 2: Convert to fraction form
    104,546/226,345 = 226,345/x
  3. Step 3: Cross multiply
    104,546x = 226,345 × 226,345
  4. Step 4: Simplify right side
    104,546x = 51,232,059,025
  5. Step 5: Solve for x
    x = 51,232,059,025/104,546
  6. Step 6: Final answer
    x = 490,043.23

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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.