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Finding the Third Proportional to 236,493 and 367,195

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Solution

The third proportional to 236,493 and 367,195 is: 570,131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,493 : 367,195 = 367,195 : x
  2. Step 2: Convert to fraction form
    236,493/367,195 = 367,195/x
  3. Step 3: Cross multiply
    236,493x = 367,195 × 367,195
  4. Step 4: Simplify right side
    236,493x = 134,832,168,025
  5. Step 5: Solve for x
    x = 134,832,168,025/236,493
  6. Step 6: Final answer
    x = 570,131.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.