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Finding the Third Proportional to 109,397 and 226,377

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Solution

The third proportional to 109,397 and 226,377 is: 468,445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,397 : 226,377 = 226,377 : x
  2. Step 2: Convert to fraction form
    109,397/226,377 = 226,377/x
  3. Step 3: Cross multiply
    109,397x = 226,377 × 226,377
  4. Step 4: Simplify right side
    109,397x = 51,246,546,129
  5. Step 5: Solve for x
    x = 51,246,546,129/109,397
  6. Step 6: Final answer
    x = 468,445.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.