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Finding the Third Proportional to 168,434.81 and 364,908.38

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Solution

The third proportional to 168,434.81 and 364,908.38 is: 790,561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,434.81 : 364,908.38 = 364,908.38 : x
  2. Step 2: Convert to fraction form
    168,434.81/364,908.38 = 364,908.38/x
  3. Step 3: Cross multiply
    168,434.81x = 364,908.38 × 364,908.38
  4. Step 4: Simplify right side
    168,434.81x = 133,158,122,145.14
  5. Step 5: Solve for x
    x = 133,158,122,145.14/168,434.81
  6. Step 6: Final answer
    x = 790,561.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.