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Finding the Third Proportional to 170,632 and 352,168

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Solution

The third proportional to 170,632 and 352,168 is: 726,840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,632 : 352,168 = 352,168 : x
  2. Step 2: Convert to fraction form
    170,632/352,168 = 352,168/x
  3. Step 3: Cross multiply
    170,632x = 352,168 × 352,168
  4. Step 4: Simplify right side
    170,632x = 124,022,300,224
  5. Step 5: Solve for x
    x = 124,022,300,224/170,632
  6. Step 6: Final answer
    x = 726,840.80

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.