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Finding the Third Proportional to 168,464.81 and 254,451.38

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Solution

The third proportional to 168,464.81 and 254,451.38 is: 384,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,464.81 : 254,451.38 = 254,451.38 : x
  2. Step 2: Convert to fraction form
    168,464.81/254,451.38 = 254,451.38/x
  3. Step 3: Cross multiply
    168,464.81x = 254,451.38 × 254,451.38
  4. Step 4: Simplify right side
    168,464.81x = 64,745,502,239.39
  5. Step 5: Solve for x
    x = 64,745,502,239.39/168,464.81
  6. Step 6: Final answer
    x = 384,326.56

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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.