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Finding the Third Proportional to 266,743.50 and 400,122

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Solution

The third proportional to 266,743.50 and 400,122 is: 600,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,743.50 : 400,122 = 400,122 : x
  2. Step 2: Convert to fraction form
    266,743.50/400,122 = 400,122/x
  3. Step 3: Cross multiply
    266,743.50x = 400,122 × 400,122
  4. Step 4: Simplify right side
    266,743.50x = 160,097,614,884
  5. Step 5: Solve for x
    x = 160,097,614,884/266,743.50
  6. Step 6: Final answer
    x = 600,193.13

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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.