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Finding the Third Proportional to 166,610 and 362,800

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Solution

The third proportional to 166,610 and 362,800 is: 790,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,610 : 362,800 = 362,800 : x
  2. Step 2: Convert to fraction form
    166,610/362,800 = 362,800/x
  3. Step 3: Cross multiply
    166,610x = 362,800 × 362,800
  4. Step 4: Simplify right side
    166,610x = 131,623,840,000
  5. Step 5: Solve for x
    x = 131,623,840,000/166,610
  6. Step 6: Final answer
    x = 790,011.64

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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.