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Finding the Third Proportional to 171,410 and 351,172

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Solution

The third proportional to 171,410 and 351,172 is: 719,454.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,410 : 351,172 = 351,172 : x
  2. Step 2: Convert to fraction form
    171,410/351,172 = 351,172/x
  3. Step 3: Cross multiply
    171,410x = 351,172 × 351,172
  4. Step 4: Simplify right side
    171,410x = 123,321,773,584
  5. Step 5: Solve for x
    x = 123,321,773,584/171,410
  6. Step 6: Final answer
    x = 719,454.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.