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Finding the Third Proportional to 120,740.91 and 262,222.88

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Solution

The third proportional to 120,740.91 and 262,222.88 is: 569,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,740.91 : 262,222.88 = 262,222.88 : x
  2. Step 2: Convert to fraction form
    120,740.91/262,222.88 = 262,222.88/x
  3. Step 3: Cross multiply
    120,740.91x = 262,222.88 × 262,222.88
  4. Step 4: Simplify right side
    120,740.91x = 68,760,836,173.27
  5. Step 5: Solve for x
    x = 68,760,836,173.27/120,740.91
  6. Step 6: Final answer
    x = 569,490.81

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