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Finding the Third Proportional to 105,847 and 228,314

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Solution

The third proportional to 105,847 and 228,314 is: 492,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,847 : 228,314 = 228,314 : x
  2. Step 2: Convert to fraction form
    105,847/228,314 = 228,314/x
  3. Step 3: Cross multiply
    105,847x = 228,314 × 228,314
  4. Step 4: Simplify right side
    105,847x = 52,127,282,596
  5. Step 5: Solve for x
    x = 52,127,282,596/105,847
  6. Step 6: Final answer
    x = 492,477.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.