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Finding the Third Proportional to 166,170 and 362,415

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Solution

The third proportional to 166,170 and 362,415 is: 790,423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,170 : 362,415 = 362,415 : x
  2. Step 2: Convert to fraction form
    166,170/362,415 = 362,415/x
  3. Step 3: Cross multiply
    166,170x = 362,415 × 362,415
  4. Step 4: Simplify right side
    166,170x = 131,344,632,225
  5. Step 5: Solve for x
    x = 131,344,632,225/166,170
  6. Step 6: Final answer
    x = 790,423.25

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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.