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Finding the Third Proportional to 236,049 and 356,049

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Solution

The third proportional to 236,049 and 356,049 is: 537,053.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,049 : 356,049 = 356,049 : x
  2. Step 2: Convert to fraction form
    236,049/356,049 = 356,049/x
  3. Step 3: Cross multiply
    236,049x = 356,049 × 356,049
  4. Step 4: Simplify right side
    236,049x = 126,770,890,401
  5. Step 5: Solve for x
    x = 126,770,890,401/236,049
  6. Step 6: Final answer
    x = 537,053.28

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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.