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Finding the Third Proportional to 133,299 and 211,990.50

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Solution

The third proportional to 133,299 and 211,990.50 is: 337,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,299 : 211,990.50 = 211,990.50 : x
  2. Step 2: Convert to fraction form
    133,299/211,990.50 = 211,990.50/x
  3. Step 3: Cross multiply
    133,299x = 211,990.50 × 211,990.50
  4. Step 4: Simplify right side
    133,299x = 44,939,972,090.25
  5. Step 5: Solve for x
    x = 44,939,972,090.25/133,299
  6. Step 6: Final answer
    x = 337,136.60

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.