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Finding the Third Proportional to 168,855.75 and 256,764.94

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Solution

The third proportional to 168,855.75 and 256,764.94 is: 390,441.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,855.75 : 256,764.94 = 256,764.94 : x
  2. Step 2: Convert to fraction form
    168,855.75/256,764.94 = 256,764.94/x
  3. Step 3: Cross multiply
    168,855.75x = 256,764.94 × 256,764.94
  4. Step 4: Simplify right side
    168,855.75x = 65,928,233,129.38
  5. Step 5: Solve for x
    x = 65,928,233,129.38/168,855.75
  6. Step 6: Final answer
    x = 390,441.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.