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Finding the Third Proportional to 170,685 and 372,474

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Solution

The third proportional to 170,685 and 372,474 is: 812,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,685 : 372,474 = 372,474 : x
  2. Step 2: Convert to fraction form
    170,685/372,474 = 372,474/x
  3. Step 3: Cross multiply
    170,685x = 372,474 × 372,474
  4. Step 4: Simplify right side
    170,685x = 138,736,880,676
  5. Step 5: Solve for x
    x = 138,736,880,676/170,685
  6. Step 6: Final answer
    x = 812,824.10

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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.