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Finding the Third Proportional to 163,723 and 361,858

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Solution

The third proportional to 163,723 and 361,858 is: 799,772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,723 : 361,858 = 361,858 : x
  2. Step 2: Convert to fraction form
    163,723/361,858 = 361,858/x
  3. Step 3: Cross multiply
    163,723x = 361,858 × 361,858
  4. Step 4: Simplify right side
    163,723x = 130,941,212,164
  5. Step 5: Solve for x
    x = 130,941,212,164/163,723
  6. Step 6: Final answer
    x = 799,772.86

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.