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Finding the Third Proportional to 168,653.25 and 256,433.25

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Solution

The third proportional to 168,653.25 and 256,433.25 is: 389,900.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,653.25 : 256,433.25 = 256,433.25 : x
  2. Step 2: Convert to fraction form
    168,653.25/256,433.25 = 256,433.25/x
  3. Step 3: Cross multiply
    168,653.25x = 256,433.25 × 256,433.25
  4. Step 4: Simplify right side
    168,653.25x = 65,758,011,705.56
  5. Step 5: Solve for x
    x = 65,758,011,705.56/168,653.25
  6. Step 6: Final answer
    x = 389,900.65

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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.