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Finding the Third Proportional to 170,570 and 371,668

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Solution

The third proportional to 170,570 and 371,668 is: 809,855.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,570 : 371,668 = 371,668 : x
  2. Step 2: Convert to fraction form
    170,570/371,668 = 371,668/x
  3. Step 3: Cross multiply
    170,570x = 371,668 × 371,668
  4. Step 4: Simplify right side
    170,570x = 138,137,102,224
  5. Step 5: Solve for x
    x = 138,137,102,224/170,570
  6. Step 6: Final answer
    x = 809,855.79

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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.