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Finding the Third Proportional to 166,237 and 344,299

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Solution

The third proportional to 166,237 and 344,299 is: 713,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,237 : 344,299 = 344,299 : x
  2. Step 2: Convert to fraction form
    166,237/344,299 = 344,299/x
  3. Step 3: Cross multiply
    166,237x = 344,299 × 344,299
  4. Step 4: Simplify right side
    166,237x = 118,541,801,401
  5. Step 5: Solve for x
    x = 118,541,801,401/166,237
  6. Step 6: Final answer
    x = 713,089.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.