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Finding the Third Proportional to 104,772 and 226,284

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Solution

The third proportional to 104,772 and 226,284 is: 488,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,772 : 226,284 = 226,284 : x
  2. Step 2: Convert to fraction form
    104,772/226,284 = 226,284/x
  3. Step 3: Cross multiply
    104,772x = 226,284 × 226,284
  4. Step 4: Simplify right side
    104,772x = 51,204,448,656
  5. Step 5: Solve for x
    x = 51,204,448,656/104,772
  6. Step 6: Final answer
    x = 488,722.64

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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.