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Finding the Third Proportional to 137,983.50 and 298,107

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Solution

The third proportional to 137,983.50 and 298,107 is: 644,046.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,983.50 : 298,107 = 298,107 : x
  2. Step 2: Convert to fraction form
    137,983.50/298,107 = 298,107/x
  3. Step 3: Cross multiply
    137,983.50x = 298,107 × 298,107
  4. Step 4: Simplify right side
    137,983.50x = 88,867,783,449
  5. Step 5: Solve for x
    x = 88,867,783,449/137,983.50
  6. Step 6: Final answer
    x = 644,046.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.