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Finding the Third Proportional to 169,741 and 372,125

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Solution

The third proportional to 169,741 and 372,125 is: 815,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,741 : 372,125 = 372,125 : x
  2. Step 2: Convert to fraction form
    169,741/372,125 = 372,125/x
  3. Step 3: Cross multiply
    169,741x = 372,125 × 372,125
  4. Step 4: Simplify right side
    169,741x = 138,477,015,625
  5. Step 5: Solve for x
    x = 138,477,015,625/169,741
  6. Step 6: Final answer
    x = 815,813.60

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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.