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Finding the Third Proportional to 120,532.22 and 259,203.94

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Solution

The third proportional to 120,532.22 and 259,203.94 is: 557,416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,532.22 : 259,203.94 = 259,203.94 : x
  2. Step 2: Convert to fraction form
    120,532.22/259,203.94 = 259,203.94/x
  3. Step 3: Cross multiply
    120,532.22x = 259,203.94 × 259,203.94
  4. Step 4: Simplify right side
    120,532.22x = 67,186,681,215.50
  5. Step 5: Solve for x
    x = 67,186,681,215.50/120,532.22
  6. Step 6: Final answer
    x = 557,416.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.