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Finding the Third Proportional to 120,857.34 and 263,379.38

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Solution

The third proportional to 120,857.34 and 263,379.38 is: 573,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,857.34 : 263,379.38 = 263,379.38 : x
  2. Step 2: Convert to fraction form
    120,857.34/263,379.38 = 263,379.38/x
  3. Step 3: Cross multiply
    120,857.34x = 263,379.38 × 263,379.38
  4. Step 4: Simplify right side
    120,857.34x = 69,368,695,175.39
  5. Step 5: Solve for x
    x = 69,368,695,175.39/120,857.34
  6. Step 6: Final answer
    x = 573,971.70

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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.