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Finding the Third Proportional to 120,936.38 and 262,861.88

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Solution

The third proportional to 120,936.38 and 262,861.88 is: 571,344.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,936.38 : 262,861.88 = 262,861.88 : x
  2. Step 2: Convert to fraction form
    120,936.38/262,861.88 = 262,861.88/x
  3. Step 3: Cross multiply
    120,936.38x = 262,861.88 × 262,861.88
  4. Step 4: Simplify right side
    120,936.38x = 69,096,365,328.52
  5. Step 5: Solve for x
    x = 69,096,365,328.52/120,936.38
  6. Step 6: Final answer
    x = 571,344.77

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Why These Related Problems?

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