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Finding the Third Proportional to 169,782 and 370,668

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Solution

The third proportional to 169,782 and 370,668 is: 809,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,782 : 370,668 = 370,668 : x
  2. Step 2: Convert to fraction form
    169,782/370,668 = 370,668/x
  3. Step 3: Cross multiply
    169,782x = 370,668 × 370,668
  4. Step 4: Simplify right side
    169,782x = 137,394,766,224
  5. Step 5: Solve for x
    x = 137,394,766,224/169,782
  6. Step 6: Final answer
    x = 809,242.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.