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Finding the Third Proportional to 266,751.56 and 400,137.47

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Solution

The third proportional to 266,751.56 and 400,137.47 is: 600,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,751.56 : 400,137.47 = 400,137.47 : x
  2. Step 2: Convert to fraction form
    266,751.56/400,137.47 = 400,137.47/x
  3. Step 3: Cross multiply
    266,751.56x = 400,137.47 × 400,137.47
  4. Step 4: Simplify right side
    266,751.56x = 160,109,993,897.66
  5. Step 5: Solve for x
    x = 160,109,993,897.66/266,751.56
  6. Step 6: Final answer
    x = 600,221.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.