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Finding the Third Proportional to 236,366 and 350,836

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Solution

The third proportional to 236,366 and 350,836 is: 520,742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,366 : 350,836 = 350,836 : x
  2. Step 2: Convert to fraction form
    236,366/350,836 = 350,836/x
  3. Step 3: Cross multiply
    236,366x = 350,836 × 350,836
  4. Step 4: Simplify right side
    236,366x = 123,085,898,896
  5. Step 5: Solve for x
    x = 123,085,898,896/236,366
  6. Step 6: Final answer
    x = 520,742.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.