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Finding the Third Proportional to 105,188 and 226,414

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Solution

The third proportional to 105,188 and 226,414 is: 487,349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,188 : 226,414 = 226,414 : x
  2. Step 2: Convert to fraction form
    105,188/226,414 = 226,414/x
  3. Step 3: Cross multiply
    105,188x = 226,414 × 226,414
  4. Step 4: Simplify right side
    105,188x = 51,263,299,396
  5. Step 5: Solve for x
    x = 51,263,299,396/105,188
  6. Step 6: Final answer
    x = 487,349.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.