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Finding the Third Proportional to 166,268 and 344,360

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Solution

The third proportional to 166,268 and 344,360 is: 713,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,268 : 344,360 = 344,360 : x
  2. Step 2: Convert to fraction form
    166,268/344,360 = 344,360/x
  3. Step 3: Cross multiply
    166,268x = 344,360 × 344,360
  4. Step 4: Simplify right side
    166,268x = 118,583,809,600
  5. Step 5: Solve for x
    x = 118,583,809,600/166,268
  6. Step 6: Final answer
    x = 713,208.85

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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.