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Finding the Third Proportional to 170,118 and 371,322

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Solution

The third proportional to 170,118 and 371,322 is: 810,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,118 : 371,322 = 371,322 : x
  2. Step 2: Convert to fraction form
    170,118/371,322 = 371,322/x
  3. Step 3: Cross multiply
    170,118x = 371,322 × 371,322
  4. Step 4: Simplify right side
    170,118x = 137,880,027,684
  5. Step 5: Solve for x
    x = 137,880,027,684/170,118
  6. Step 6: Final answer
    x = 810,496.41

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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.