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Finding the Third Proportional to 221,837.25 and 362,201.25

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Solution

The third proportional to 221,837.25 and 362,201.25 is: 591,378.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,837.25 : 362,201.25 = 362,201.25 : x
  2. Step 2: Convert to fraction form
    221,837.25/362,201.25 = 362,201.25/x
  3. Step 3: Cross multiply
    221,837.25x = 362,201.25 × 362,201.25
  4. Step 4: Simplify right side
    221,837.25x = 131,189,745,501.56
  5. Step 5: Solve for x
    x = 131,189,745,501.56/221,837.25
  6. Step 6: Final answer
    x = 591,378.34

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.