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Finding the Third Proportional to 120,736.83 and 262,215.98

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Solution

The third proportional to 120,736.83 and 262,215.98 is: 569,480.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,736.83 : 262,215.98 = 262,215.98 : x
  2. Step 2: Convert to fraction form
    120,736.83/262,215.98 = 262,215.98/x
  3. Step 3: Cross multiply
    120,736.83x = 262,215.98 × 262,215.98
  4. Step 4: Simplify right side
    120,736.83x = 68,757,222,461.75
  5. Step 5: Solve for x
    x = 68,757,222,461.75/120,736.83
  6. Step 6: Final answer
    x = 569,480.11

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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.