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Finding the Third Proportional to 168,816 and 241,272

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Solution

The third proportional to 168,816 and 241,272 is: 344,826.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,816 : 241,272 = 241,272 : x
  2. Step 2: Convert to fraction form
    168,816/241,272 = 241,272/x
  3. Step 3: Cross multiply
    168,816x = 241,272 × 241,272
  4. Step 4: Simplify right side
    168,816x = 58,212,177,984
  5. Step 5: Solve for x
    x = 58,212,177,984/168,816
  6. Step 6: Final answer
    x = 344,826.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.