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Finding the Third Proportional to 133,285.50 and 211,015.50

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Solution

The third proportional to 133,285.50 and 211,015.50 is: 334,076.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,285.50 : 211,015.50 = 211,015.50 : x
  2. Step 2: Convert to fraction form
    133,285.50/211,015.50 = 211,015.50/x
  3. Step 3: Cross multiply
    133,285.50x = 211,015.50 × 211,015.50
  4. Step 4: Simplify right side
    133,285.50x = 44,527,541,240.25
  5. Step 5: Solve for x
    x = 44,527,541,240.25/133,285.50
  6. Step 6: Final answer
    x = 334,076.41

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.