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Finding the Third Proportional to 203,986.50 and 337,113

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Solution

The third proportional to 203,986.50 and 337,113 is: 557,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,986.50 : 337,113 = 337,113 : x
  2. Step 2: Convert to fraction form
    203,986.50/337,113 = 337,113/x
  3. Step 3: Cross multiply
    203,986.50x = 337,113 × 337,113
  4. Step 4: Simplify right side
    203,986.50x = 113,645,174,769
  5. Step 5: Solve for x
    x = 113,645,174,769/203,986.50
  6. Step 6: Final answer
    x = 557,121.06

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.