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Finding the Third Proportional to 146,059 and 299,026

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Solution

The third proportional to 146,059 and 299,026 is: 612,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,059 : 299,026 = 299,026 : x
  2. Step 2: Convert to fraction form
    146,059/299,026 = 299,026/x
  3. Step 3: Cross multiply
    146,059x = 299,026 × 299,026
  4. Step 4: Simplify right side
    146,059x = 89,416,548,676
  5. Step 5: Solve for x
    x = 89,416,548,676/146,059
  6. Step 6: Final answer
    x = 612,194.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.