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Finding the Third Proportional to 201,289.50 and 434,105

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Solution

The third proportional to 201,289.50 and 434,105 is: 936,199.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,289.50 : 434,105 = 434,105 : x
  2. Step 2: Convert to fraction form
    201,289.50/434,105 = 434,105/x
  3. Step 3: Cross multiply
    201,289.50x = 434,105 × 434,105
  4. Step 4: Simplify right side
    201,289.50x = 188,447,151,025
  5. Step 5: Solve for x
    x = 188,447,151,025/201,289.50
  6. Step 6: Final answer
    x = 936,199.61

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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.