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Finding the Third Proportional to 201,279 and 434,089.50

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Solution

The third proportional to 201,279 and 434,089.50 is: 936,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,279 : 434,089.50 = 434,089.50 : x
  2. Step 2: Convert to fraction form
    201,279/434,089.50 = 434,089.50/x
  3. Step 3: Cross multiply
    201,279x = 434,089.50 × 434,089.50
  4. Step 4: Simplify right side
    201,279x = 188,433,694,010.25
  5. Step 5: Solve for x
    x = 188,433,694,010.25/201,279
  6. Step 6: Final answer
    x = 936,181.59

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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.