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Finding the Third Proportional to 70,676 and 153,818

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Solution

The third proportional to 70,676 and 153,818 is: 334,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,676 : 153,818 = 153,818 : x
  2. Step 2: Convert to fraction form
    70,676/153,818 = 153,818/x
  3. Step 3: Cross multiply
    70,676x = 153,818 × 153,818
  4. Step 4: Simplify right side
    70,676x = 23,659,977,124
  5. Step 5: Solve for x
    x = 23,659,977,124/70,676
  6. Step 6: Final answer
    x = 334,766.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.