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Finding the Third Proportional to 169,734 and 372,084

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Solution

The third proportional to 169,734 and 372,084 is: 815,667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,734 : 372,084 = 372,084 : x
  2. Step 2: Convert to fraction form
    169,734/372,084 = 372,084/x
  3. Step 3: Cross multiply
    169,734x = 372,084 × 372,084
  4. Step 4: Simplify right side
    169,734x = 138,446,503,056
  5. Step 5: Solve for x
    x = 138,446,503,056/169,734
  6. Step 6: Final answer
    x = 815,667.47

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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.