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Finding the Third Proportional to 114,966 and 251,226

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Solution

The third proportional to 114,966 and 251,226 is: 548,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,966 : 251,226 = 251,226 : x
  2. Step 2: Convert to fraction form
    114,966/251,226 = 251,226/x
  3. Step 3: Cross multiply
    114,966x = 251,226 × 251,226
  4. Step 4: Simplify right side
    114,966x = 63,114,503,076
  5. Step 5: Solve for x
    x = 63,114,503,076/114,966
  6. Step 6: Final answer
    x = 548,984.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.