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Finding the Third Proportional to 114,660 and 251,406

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Solution

The third proportional to 114,660 and 251,406 is: 551,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,660 : 251,406 = 251,406 : x
  2. Step 2: Convert to fraction form
    114,660/251,406 = 251,406/x
  3. Step 3: Cross multiply
    114,660x = 251,406 × 251,406
  4. Step 4: Simplify right side
    114,660x = 63,204,976,836
  5. Step 5: Solve for x
    x = 63,204,976,836/114,660
  6. Step 6: Final answer
    x = 551,238.24

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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.