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Finding the Third Proportional to 168,806.25 and 267,303.38

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Solution

The third proportional to 168,806.25 and 267,303.38 is: 423,272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,806.25 : 267,303.38 = 267,303.38 : x
  2. Step 2: Convert to fraction form
    168,806.25/267,303.38 = 267,303.38/x
  3. Step 3: Cross multiply
    168,806.25x = 267,303.38 × 267,303.38
  4. Step 4: Simplify right side
    168,806.25x = 71,451,094,286.39
  5. Step 5: Solve for x
    x = 71,451,094,286.39/168,806.25
  6. Step 6: Final answer
    x = 423,272.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.