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Finding the Third Proportional to 169,760 and 372,168

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Solution

The third proportional to 169,760 and 372,168 is: 815,910.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,760 : 372,168 = 372,168 : x
  2. Step 2: Convert to fraction form
    169,760/372,168 = 372,168/x
  3. Step 3: Cross multiply
    169,760x = 372,168 × 372,168
  4. Step 4: Simplify right side
    169,760x = 138,509,020,224
  5. Step 5: Solve for x
    x = 138,509,020,224/169,760
  6. Step 6: Final answer
    x = 815,910.82

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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.