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Finding the Third Proportional to 266,236.88 and 581,256

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Solution

The third proportional to 266,236.88 and 581,256 is: 1,269,014.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,236.88 : 581,256 = 581,256 : x
  2. Step 2: Convert to fraction form
    266,236.88/581,256 = 581,256/x
  3. Step 3: Cross multiply
    266,236.88x = 581,256 × 581,256
  4. Step 4: Simplify right side
    266,236.88x = 337,858,537,536
  5. Step 5: Solve for x
    x = 337,858,537,536/266,236.88
  6. Step 6: Final answer
    x = 1,269,014.81

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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.