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Finding the Third Proportional to 170,953 and 372,008

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Solution

The third proportional to 170,953 and 372,008 is: 809,520.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,953 : 372,008 = 372,008 : x
  2. Step 2: Convert to fraction form
    170,953/372,008 = 372,008/x
  3. Step 3: Cross multiply
    170,953x = 372,008 × 372,008
  4. Step 4: Simplify right side
    170,953x = 138,389,952,064
  5. Step 5: Solve for x
    x = 138,389,952,064/170,953
  6. Step 6: Final answer
    x = 809,520.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.