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Finding the Third Proportional to 236,606 and 367,062

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Solution

The third proportional to 236,606 and 367,062 is: 569,446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,606 : 367,062 = 367,062 : x
  2. Step 2: Convert to fraction form
    236,606/367,062 = 367,062/x
  3. Step 3: Cross multiply
    236,606x = 367,062 × 367,062
  4. Step 4: Simplify right side
    236,606x = 134,734,511,844
  5. Step 5: Solve for x
    x = 134,734,511,844/236,606
  6. Step 6: Final answer
    x = 569,446.73

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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.