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Finding the Third Proportional to 120,536.44 and 262,502.44

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Solution

The third proportional to 120,536.44 and 262,502.44 is: 571,673.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,536.44 : 262,502.44 = 262,502.44 : x
  2. Step 2: Convert to fraction form
    120,536.44/262,502.44 = 262,502.44/x
  3. Step 3: Cross multiply
    120,536.44x = 262,502.44 × 262,502.44
  4. Step 4: Simplify right side
    120,536.44x = 68,907,529,693.44
  5. Step 5: Solve for x
    x = 68,907,529,693.44/120,536.44
  6. Step 6: Final answer
    x = 571,673.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.