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Finding the Third Proportional to 170,194 and 282,668

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Solution

The third proportional to 170,194 and 282,668 is: 469,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,194 : 282,668 = 282,668 : x
  2. Step 2: Convert to fraction form
    170,194/282,668 = 282,668/x
  3. Step 3: Cross multiply
    170,194x = 282,668 × 282,668
  4. Step 4: Simplify right side
    170,194x = 79,901,198,224
  5. Step 5: Solve for x
    x = 79,901,198,224/170,194
  6. Step 6: Final answer
    x = 469,471.30

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.