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Finding the Third Proportional to 116,564.25 and 254,997.75

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Solution

The third proportional to 116,564.25 and 254,997.75 is: 557,837.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,564.25 : 254,997.75 = 254,997.75 : x
  2. Step 2: Convert to fraction form
    116,564.25/254,997.75 = 254,997.75/x
  3. Step 3: Cross multiply
    116,564.25x = 254,997.75 × 254,997.75
  4. Step 4: Simplify right side
    116,564.25x = 65,023,852,505.06
  5. Step 5: Solve for x
    x = 65,023,852,505.06/116,564.25
  6. Step 6: Final answer
    x = 557,837.01

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Why These Related Problems?

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