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Finding the Third Proportional to 114,049 and 250,994

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Solution

The third proportional to 114,049 and 250,994 is: 552,376.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,049 : 250,994 = 250,994 : x
  2. Step 2: Convert to fraction form
    114,049/250,994 = 250,994/x
  3. Step 3: Cross multiply
    114,049x = 250,994 × 250,994
  4. Step 4: Simplify right side
    114,049x = 62,997,988,036
  5. Step 5: Solve for x
    x = 62,997,988,036/114,049
  6. Step 6: Final answer
    x = 552,376.51

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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.