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Finding the Third Proportional to 106,629 and 226,377

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Solution

The third proportional to 106,629 and 226,377 is: 480,606.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,629 : 226,377 = 226,377 : x
  2. Step 2: Convert to fraction form
    106,629/226,377 = 226,377/x
  3. Step 3: Cross multiply
    106,629x = 226,377 × 226,377
  4. Step 4: Simplify right side
    106,629x = 51,246,546,129
  5. Step 5: Solve for x
    x = 51,246,546,129/106,629
  6. Step 6: Final answer
    x = 480,606.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.