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Finding the Third Proportional to 166,220 and 342,242

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Solution

The third proportional to 166,220 and 342,242 is: 704,666.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,220 : 342,242 = 342,242 : x
  2. Step 2: Convert to fraction form
    166,220/342,242 = 342,242/x
  3. Step 3: Cross multiply
    166,220x = 342,242 × 342,242
  4. Step 4: Simplify right side
    166,220x = 117,129,586,564
  5. Step 5: Solve for x
    x = 117,129,586,564/166,220
  6. Step 6: Final answer
    x = 704,666.02

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.