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Finding the Third Proportional to 166,684 and 264,790

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Solution

The third proportional to 166,684 and 264,790 is: 420,638.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,684 : 264,790 = 264,790 : x
  2. Step 2: Convert to fraction form
    166,684/264,790 = 264,790/x
  3. Step 3: Cross multiply
    166,684x = 264,790 × 264,790
  4. Step 4: Simplify right side
    166,684x = 70,113,744,100
  5. Step 5: Solve for x
    x = 70,113,744,100/166,684
  6. Step 6: Final answer
    x = 420,638.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.