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Finding the Third Proportional to 114,702 and 251,544

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Solution

The third proportional to 114,702 and 251,544 is: 551,641.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,702 : 251,544 = 251,544 : x
  2. Step 2: Convert to fraction form
    114,702/251,544 = 251,544/x
  3. Step 3: Cross multiply
    114,702x = 251,544 × 251,544
  4. Step 4: Simplify right side
    114,702x = 63,274,383,936
  5. Step 5: Solve for x
    x = 63,274,383,936/114,702
  6. Step 6: Final answer
    x = 551,641.51

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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.