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Finding the Third Proportional to 163,362 and 359,832

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Solution

The third proportional to 163,362 and 359,832 is: 792,589.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,362 : 359,832 = 359,832 : x
  2. Step 2: Convert to fraction form
    163,362/359,832 = 359,832/x
  3. Step 3: Cross multiply
    163,362x = 359,832 × 359,832
  4. Step 4: Simplify right side
    163,362x = 129,479,068,224
  5. Step 5: Solve for x
    x = 129,479,068,224/163,362
  6. Step 6: Final answer
    x = 792,589.88

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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.