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Finding the Third Proportional to 266,198.91 and 581,186.71

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Solution

The third proportional to 266,198.91 and 581,186.71 is: 1,268,893.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,198.91 : 581,186.71 = 581,186.71 : x
  2. Step 2: Convert to fraction form
    266,198.91/581,186.71 = 581,186.71/x
  3. Step 3: Cross multiply
    266,198.91x = 581,186.71 × 581,186.71
  4. Step 4: Simplify right side
    266,198.91x = 337,777,988,429.83
  5. Step 5: Solve for x
    x = 337,777,988,429.83/266,198.91
  6. Step 6: Final answer
    x = 1,268,893.22

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Why These Related Problems?

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