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Finding the Third Proportional to 170,102 and 372,766

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Solution

The third proportional to 170,102 and 372,766 is: 816,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,102 : 372,766 = 372,766 : x
  2. Step 2: Convert to fraction form
    170,102/372,766 = 372,766/x
  3. Step 3: Cross multiply
    170,102x = 372,766 × 372,766
  4. Step 4: Simplify right side
    170,102x = 138,954,490,756
  5. Step 5: Solve for x
    x = 138,954,490,756/170,102
  6. Step 6: Final answer
    x = 816,889.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.