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Finding the Third Proportional to 114,901 and 248,249

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Solution

The third proportional to 114,901 and 248,249 is: 536,353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,901 : 248,249 = 248,249 : x
  2. Step 2: Convert to fraction form
    114,901/248,249 = 248,249/x
  3. Step 3: Cross multiply
    114,901x = 248,249 × 248,249
  4. Step 4: Simplify right side
    114,901x = 61,627,566,001
  5. Step 5: Solve for x
    x = 61,627,566,001/114,901
  6. Step 6: Final answer
    x = 536,353.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.