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Finding the Third Proportional to 236,418.75 and 513,025.31

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Solution

The third proportional to 236,418.75 and 513,025.31 is: 1,113,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,418.75 : 513,025.31 = 513,025.31 : x
  2. Step 2: Convert to fraction form
    236,418.75/513,025.31 = 513,025.31/x
  3. Step 3: Cross multiply
    236,418.75x = 513,025.31 × 513,025.31
  4. Step 4: Simplify right side
    236,418.75x = 263,194,971,265.72
  5. Step 5: Solve for x
    x = 263,194,971,265.72/236,418.75
  6. Step 6: Final answer
    x = 1,113,257.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.