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Finding the Third Proportional to 166,173 and 362,422

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Solution

The third proportional to 166,173 and 362,422 is: 790,439.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,173 : 362,422 = 362,422 : x
  2. Step 2: Convert to fraction form
    166,173/362,422 = 362,422/x
  3. Step 3: Cross multiply
    166,173x = 362,422 × 362,422
  4. Step 4: Simplify right side
    166,173x = 131,349,706,084
  5. Step 5: Solve for x
    x = 131,349,706,084/166,173
  6. Step 6: Final answer
    x = 790,439.52

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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.