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Finding the Third Proportional to 166,276 and 359,176

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Solution

The third proportional to 166,276 and 359,176 is: 775,863.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,276 : 359,176 = 359,176 : x
  2. Step 2: Convert to fraction form
    166,276/359,176 = 359,176/x
  3. Step 3: Cross multiply
    166,276x = 359,176 × 359,176
  4. Step 4: Simplify right side
    166,276x = 129,007,398,976
  5. Step 5: Solve for x
    x = 129,007,398,976/166,276
  6. Step 6: Final answer
    x = 775,863.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.