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Finding the Third Proportional to 163,968 and 353,766

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Solution

The third proportional to 163,968 and 353,766 is: 763,261.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,968 : 353,766 = 353,766 : x
  2. Step 2: Convert to fraction form
    163,968/353,766 = 353,766/x
  3. Step 3: Cross multiply
    163,968x = 353,766 × 353,766
  4. Step 4: Simplify right side
    163,968x = 125,150,382,756
  5. Step 5: Solve for x
    x = 125,150,382,756/163,968
  6. Step 6: Final answer
    x = 763,261.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.