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Finding the Third Proportional to 170,100 and 372,924

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Solution

The third proportional to 170,100 and 372,924 is: 817,591.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,100 : 372,924 = 372,924 : x
  2. Step 2: Convert to fraction form
    170,100/372,924 = 372,924/x
  3. Step 3: Cross multiply
    170,100x = 372,924 × 372,924
  4. Step 4: Simplify right side
    170,100x = 139,072,309,776
  5. Step 5: Solve for x
    x = 139,072,309,776/170,100
  6. Step 6: Final answer
    x = 817,591.47

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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.