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Finding the Third Proportional to 236,357 and 350,824

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Solution

The third proportional to 236,357 and 350,824 is: 520,727.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,357 : 350,824 = 350,824 : x
  2. Step 2: Convert to fraction form
    236,357/350,824 = 350,824/x
  3. Step 3: Cross multiply
    236,357x = 350,824 × 350,824
  4. Step 4: Simplify right side
    236,357x = 123,077,478,976
  5. Step 5: Solve for x
    x = 123,077,478,976/236,357
  6. Step 6: Final answer
    x = 520,727.03

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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.