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Finding the Third Proportional to 166,937 and 353,740

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Solution

The third proportional to 166,937 and 353,740 is: 749,576.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,937 : 353,740 = 353,740 : x
  2. Step 2: Convert to fraction form
    166,937/353,740 = 353,740/x
  3. Step 3: Cross multiply
    166,937x = 353,740 × 353,740
  4. Step 4: Simplify right side
    166,937x = 125,131,987,600
  5. Step 5: Solve for x
    x = 125,131,987,600/166,937
  6. Step 6: Final answer
    x = 749,576.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.