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Finding the Third Proportional to 138,575.50 and 298,499.87

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Solution

The third proportional to 138,575.50 and 298,499.87 is: 642,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,575.50 : 298,499.87 = 298,499.87 : x
  2. Step 2: Convert to fraction form
    138,575.50/298,499.87 = 298,499.87/x
  3. Step 3: Cross multiply
    138,575.50x = 298,499.87 × 298,499.87
  4. Step 4: Simplify right side
    138,575.50x = 89,102,173,042.99
  5. Step 5: Solve for x
    x = 89,102,173,042.99/138,575.50
  6. Step 6: Final answer
    x = 642,986.50

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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.