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Finding the Third Proportional to 171,451.69 and 257,169.94

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Solution

The third proportional to 171,451.69 and 257,169.94 is: 385,743.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,451.69 : 257,169.94 = 257,169.94 : x
  2. Step 2: Convert to fraction form
    171,451.69/257,169.94 = 257,169.94/x
  3. Step 3: Cross multiply
    171,451.69x = 257,169.94 × 257,169.94
  4. Step 4: Simplify right side
    171,451.69x = 66,136,376,753.75
  5. Step 5: Solve for x
    x = 66,136,376,753.75/171,451.69
  6. Step 6: Final answer
    x = 385,743.52

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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.