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Finding the Third Proportional to 138,765.02 and 298,942.52

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Solution

The third proportional to 138,765.02 and 298,942.52 is: 644,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,765.02 : 298,942.52 = 298,942.52 : x
  2. Step 2: Convert to fraction form
    138,765.02/298,942.52 = 298,942.52/x
  3. Step 3: Cross multiply
    138,765.02x = 298,942.52 × 298,942.52
  4. Step 4: Simplify right side
    138,765.02x = 89,366,632,319.18
  5. Step 5: Solve for x
    x = 89,366,632,319.18/138,765.02
  6. Step 6: Final answer
    x = 644,014.10

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.