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Finding the Third Proportional to 166,601 and 357,826

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Solution

The third proportional to 166,601 and 357,826 is: 768,539.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,601 : 357,826 = 357,826 : x
  2. Step 2: Convert to fraction form
    166,601/357,826 = 357,826/x
  3. Step 3: Cross multiply
    166,601x = 357,826 × 357,826
  4. Step 4: Simplify right side
    166,601x = 128,039,446,276
  5. Step 5: Solve for x
    x = 128,039,446,276/166,601
  6. Step 6: Final answer
    x = 768,539.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.