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Finding the Third Proportional to 231,242.25 and 515,037.75

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Solution

The third proportional to 231,242.25 and 515,037.75 is: 1,147,125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,242.25 : 515,037.75 = 515,037.75 : x
  2. Step 2: Convert to fraction form
    231,242.25/515,037.75 = 515,037.75/x
  3. Step 3: Cross multiply
    231,242.25x = 515,037.75 × 515,037.75
  4. Step 4: Simplify right side
    231,242.25x = 265,263,883,925.06
  5. Step 5: Solve for x
    x = 265,263,883,925.06/231,242.25
  6. Step 6: Final answer
    x = 1,147,125.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.