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Finding the Third Proportional to 168,455.75 and 254,434.25

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Solution

The third proportional to 168,455.75 and 254,434.25 is: 384,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,455.75 : 254,434.25 = 254,434.25 : x
  2. Step 2: Convert to fraction form
    168,455.75/254,434.25 = 254,434.25/x
  3. Step 3: Cross multiply
    168,455.75x = 254,434.25 × 254,434.25
  4. Step 4: Simplify right side
    168,455.75x = 64,736,787,573.06
  5. Step 5: Solve for x
    x = 64,736,787,573.06/168,455.75
  6. Step 6: Final answer
    x = 384,295.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.