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Finding the Third Proportional to 236,022.25 and 355,992.75

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Solution

The third proportional to 236,022.25 and 355,992.75 is: 536,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,022.25 : 355,992.75 = 355,992.75 : x
  2. Step 2: Convert to fraction form
    236,022.25/355,992.75 = 355,992.75/x
  3. Step 3: Cross multiply
    236,022.25x = 355,992.75 × 355,992.75
  4. Step 4: Simplify right side
    236,022.25x = 126,730,838,052.56
  5. Step 5: Solve for x
    x = 126,730,838,052.56/236,022.25
  6. Step 6: Final answer
    x = 536,944.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.