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Finding the Third Proportional to 104,564 and 226,384

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Solution

The third proportional to 104,564 and 226,384 is: 490,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,564 : 226,384 = 226,384 : x
  2. Step 2: Convert to fraction form
    104,564/226,384 = 226,384/x
  3. Step 3: Cross multiply
    104,564x = 226,384 × 226,384
  4. Step 4: Simplify right side
    104,564x = 51,249,715,456
  5. Step 5: Solve for x
    x = 51,249,715,456/104,564
  6. Step 6: Final answer
    x = 490,127.73

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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.