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Finding the Third Proportional to 105,414 and 228,324

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Solution

The third proportional to 105,414 and 228,324 is: 494,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,414 : 228,324 = 228,324 : x
  2. Step 2: Convert to fraction form
    105,414/228,324 = 228,324/x
  3. Step 3: Cross multiply
    105,414x = 228,324 × 228,324
  4. Step 4: Simplify right side
    105,414x = 52,131,848,976
  5. Step 5: Solve for x
    x = 52,131,848,976/105,414
  6. Step 6: Final answer
    x = 494,543.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.