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Finding the Third Proportional to 116,822.25 and 254,147.63

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Solution

The third proportional to 116,822.25 and 254,147.63 is: 552,899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,822.25 : 254,147.63 = 254,147.63 : x
  2. Step 2: Convert to fraction form
    116,822.25/254,147.63 = 254,147.63/x
  3. Step 3: Cross multiply
    116,822.25x = 254,147.63 × 254,147.63
  4. Step 4: Simplify right side
    116,822.25x = 64,591,015,293.14
  5. Step 5: Solve for x
    x = 64,591,015,293.14/116,822.25
  6. Step 6: Final answer
    x = 552,899.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.