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Finding the Third Proportional to 123,633.84 and 266,950.69

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Solution

The third proportional to 123,633.84 and 266,950.69 is: 576,400.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,633.84 : 266,950.69 = 266,950.69 : x
  2. Step 2: Convert to fraction form
    123,633.84/266,950.69 = 266,950.69/x
  3. Step 3: Cross multiply
    123,633.84x = 266,950.69 × 266,950.69
  4. Step 4: Simplify right side
    123,633.84x = 71,262,669,556.72
  5. Step 5: Solve for x
    x = 71,262,669,556.72/123,633.84
  6. Step 6: Final answer
    x = 576,400.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.