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Finding the Third Proportional to 201,907 and 311,284.50

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Solution

The third proportional to 201,907 and 311,284.50 is: 479,914.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,907 : 311,284.50 = 311,284.50 : x
  2. Step 2: Convert to fraction form
    201,907/311,284.50 = 311,284.50/x
  3. Step 3: Cross multiply
    201,907x = 311,284.50 × 311,284.50
  4. Step 4: Simplify right side
    201,907x = 96,898,039,940.25
  5. Step 5: Solve for x
    x = 96,898,039,940.25/201,907
  6. Step 6: Final answer
    x = 479,914.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.