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Finding the Third Proportional to 116,514 and 254,979

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Solution

The third proportional to 116,514 and 254,979 is: 557,995.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,514 : 254,979 = 254,979 : x
  2. Step 2: Convert to fraction form
    116,514/254,979 = 254,979/x
  3. Step 3: Cross multiply
    116,514x = 254,979 × 254,979
  4. Step 4: Simplify right side
    116,514x = 65,014,290,441
  5. Step 5: Solve for x
    x = 65,014,290,441/116,514
  6. Step 6: Final answer
    x = 557,995.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.