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Finding the Third Proportional to 106,284 and 226,788

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Solution

The third proportional to 106,284 and 226,788 is: 483,918.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,284 : 226,788 = 226,788 : x
  2. Step 2: Convert to fraction form
    106,284/226,788 = 226,788/x
  3. Step 3: Cross multiply
    106,284x = 226,788 × 226,788
  4. Step 4: Simplify right side
    106,284x = 51,432,796,944
  5. Step 5: Solve for x
    x = 51,432,796,944/106,284
  6. Step 6: Final answer
    x = 483,918.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.