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Finding the Third Proportional to 114,661 and 245,016

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Solution

The third proportional to 114,661 and 245,016 is: 523,568.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,661 : 245,016 = 245,016 : x
  2. Step 2: Convert to fraction form
    114,661/245,016 = 245,016/x
  3. Step 3: Cross multiply
    114,661x = 245,016 × 245,016
  4. Step 4: Simplify right side
    114,661x = 60,032,840,256
  5. Step 5: Solve for x
    x = 60,032,840,256/114,661
  6. Step 6: Final answer
    x = 523,568.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.