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Finding the Third Proportional to 164,234 and 360,796

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Solution

The third proportional to 164,234 and 360,796 is: 792,611.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,234 : 360,796 = 360,796 : x
  2. Step 2: Convert to fraction form
    164,234/360,796 = 360,796/x
  3. Step 3: Cross multiply
    164,234x = 360,796 × 360,796
  4. Step 4: Simplify right side
    164,234x = 130,173,753,616
  5. Step 5: Solve for x
    x = 130,173,753,616/164,234
  6. Step 6: Final answer
    x = 792,611.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.