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Finding the Third Proportional to 166,269 and 344,362

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Solution

The third proportional to 166,269 and 344,362 is: 713,212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,269 : 344,362 = 344,362 : x
  2. Step 2: Convert to fraction form
    166,269/344,362 = 344,362/x
  3. Step 3: Cross multiply
    166,269x = 344,362 × 344,362
  4. Step 4: Simplify right side
    166,269x = 118,585,187,044
  5. Step 5: Solve for x
    x = 118,585,187,044/166,269
  6. Step 6: Final answer
    x = 713,212.85

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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.