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Finding the Third Proportional to 163,305 and 333,170

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Solution

The third proportional to 163,305 and 333,170 is: 679,723.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,305 : 333,170 = 333,170 : x
  2. Step 2: Convert to fraction form
    163,305/333,170 = 333,170/x
  3. Step 3: Cross multiply
    163,305x = 333,170 × 333,170
  4. Step 4: Simplify right side
    163,305x = 111,002,248,900
  5. Step 5: Solve for x
    x = 111,002,248,900/163,305
  6. Step 6: Final answer
    x = 679,723.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.