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Finding the Third Proportional to 117,083 and 251,917

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Solution

The third proportional to 117,083 and 251,917 is: 542,027.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,083 : 251,917 = 251,917 : x
  2. Step 2: Convert to fraction form
    117,083/251,917 = 251,917/x
  3. Step 3: Cross multiply
    117,083x = 251,917 × 251,917
  4. Step 4: Simplify right side
    117,083x = 63,462,174,889
  5. Step 5: Solve for x
    x = 63,462,174,889/117,083
  6. Step 6: Final answer
    x = 542,027.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.