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Finding the Third Proportional to 116,356 and 251,016

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Solution

The third proportional to 116,356 and 251,016 is: 541,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,356 : 251,016 = 251,016 : x
  2. Step 2: Convert to fraction form
    116,356/251,016 = 251,016/x
  3. Step 3: Cross multiply
    116,356x = 251,016 × 251,016
  4. Step 4: Simplify right side
    116,356x = 63,009,032,256
  5. Step 5: Solve for x
    x = 63,009,032,256/116,356
  6. Step 6: Final answer
    x = 541,519.41

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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.