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Finding the Third Proportional to 165,708 and 248,562

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Solution

The third proportional to 165,708 and 248,562 is: 372,843

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,708 : 248,562 = 248,562 : x
  2. Step 2: Convert to fraction form
    165,708/248,562 = 248,562/x
  3. Step 3: Cross multiply
    165,708x = 248,562 × 248,562
  4. Step 4: Simplify right side
    165,708x = 61,783,067,844
  5. Step 5: Solve for x
    x = 61,783,067,844/165,708
  6. Step 6: Final answer
    x = 372,843

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.