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Finding the Third Proportional to 236,886 and 351,721

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Solution

The third proportional to 236,886 and 351,721 is: 522,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,886 : 351,721 = 351,721 : x
  2. Step 2: Convert to fraction form
    236,886/351,721 = 351,721/x
  3. Step 3: Cross multiply
    236,886x = 351,721 × 351,721
  4. Step 4: Simplify right side
    236,886x = 123,707,661,841
  5. Step 5: Solve for x
    x = 123,707,661,841/236,886
  6. Step 6: Final answer
    x = 522,224.45

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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.