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Finding the Third Proportional to 170,846 and 374,600

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Solution

The third proportional to 170,846 and 374,600 is: 821,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,846 : 374,600 = 374,600 : x
  2. Step 2: Convert to fraction form
    170,846/374,600 = 374,600/x
  3. Step 3: Cross multiply
    170,846x = 374,600 × 374,600
  4. Step 4: Simplify right side
    170,846x = 140,325,160,000
  5. Step 5: Solve for x
    x = 140,325,160,000/170,846
  6. Step 6: Final answer
    x = 821,354.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.