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Finding the Third Proportional to 166,952 and 362,212

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Solution

The third proportional to 166,952 and 362,212 is: 785,839.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,952 : 362,212 = 362,212 : x
  2. Step 2: Convert to fraction form
    166,952/362,212 = 362,212/x
  3. Step 3: Cross multiply
    166,952x = 362,212 × 362,212
  4. Step 4: Simplify right side
    166,952x = 131,197,532,944
  5. Step 5: Solve for x
    x = 131,197,532,944/166,952
  6. Step 6: Final answer
    x = 785,839.84

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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.