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Finding the Third Proportional to 236,538 and 367,263

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Solution

The third proportional to 236,538 and 367,263 is: 570,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,538 : 367,263 = 367,263 : x
  2. Step 2: Convert to fraction form
    236,538/367,263 = 367,263/x
  3. Step 3: Cross multiply
    236,538x = 367,263 × 367,263
  4. Step 4: Simplify right side
    236,538x = 134,882,111,169
  5. Step 5: Solve for x
    x = 134,882,111,169/236,538
  6. Step 6: Final answer
    x = 570,234.43

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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.