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Finding the Third Proportional to 166,293 and 295,649

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Solution

The third proportional to 166,293 and 295,649 is: 525,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,293 : 295,649 = 295,649 : x
  2. Step 2: Convert to fraction form
    166,293/295,649 = 295,649/x
  3. Step 3: Cross multiply
    166,293x = 295,649 × 295,649
  4. Step 4: Simplify right side
    166,293x = 87,408,331,201
  5. Step 5: Solve for x
    x = 87,408,331,201/166,293
  6. Step 6: Final answer
    x = 525,628.45

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.