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Finding the Third Proportional to 171,362 and 371,322

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Solution

The third proportional to 171,362 and 371,322 is: 804,612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,362 : 371,322 = 371,322 : x
  2. Step 2: Convert to fraction form
    171,362/371,322 = 371,322/x
  3. Step 3: Cross multiply
    171,362x = 371,322 × 371,322
  4. Step 4: Simplify right side
    171,362x = 137,880,027,684
  5. Step 5: Solve for x
    x = 137,880,027,684/171,362
  6. Step 6: Final answer
    x = 804,612.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.