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Finding the Third Proportional to 225,893.25 and 363,262.50

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Solution

The third proportional to 225,893.25 and 363,262.50 is: 584,168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,893.25 : 363,262.50 = 363,262.50 : x
  2. Step 2: Convert to fraction form
    225,893.25/363,262.50 = 363,262.50/x
  3. Step 3: Cross multiply
    225,893.25x = 363,262.50 × 363,262.50
  4. Step 4: Simplify right side
    225,893.25x = 131,959,643,906.25
  5. Step 5: Solve for x
    x = 131,959,643,906.25/225,893.25
  6. Step 6: Final answer
    x = 584,168.16

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.