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Finding the Third Proportional to 114,222 and 251,223

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Solution

The third proportional to 114,222 and 251,223 is: 552,546.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,222 : 251,223 = 251,223 : x
  2. Step 2: Convert to fraction form
    114,222/251,223 = 251,223/x
  3. Step 3: Cross multiply
    114,222x = 251,223 × 251,223
  4. Step 4: Simplify right side
    114,222x = 63,112,995,729
  5. Step 5: Solve for x
    x = 63,112,995,729/114,222
  6. Step 6: Final answer
    x = 552,546.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.