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Finding the Third Proportional to 168,654.75 and 256,434.75

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Solution

The third proportional to 168,654.75 and 256,434.75 is: 389,901.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,654.75 : 256,434.75 = 256,434.75 : x
  2. Step 2: Convert to fraction form
    168,654.75/256,434.75 = 256,434.75/x
  3. Step 3: Cross multiply
    168,654.75x = 256,434.75 × 256,434.75
  4. Step 4: Simplify right side
    168,654.75x = 65,758,781,007.56
  5. Step 5: Solve for x
    x = 65,758,781,007.56/168,654.75
  6. Step 6: Final answer
    x = 389,901.74

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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.