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Finding the Third Proportional to 201,804.75 and 316,608.75

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Solution

The third proportional to 201,804.75 and 316,608.75 is: 496,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,804.75 : 316,608.75 = 316,608.75 : x
  2. Step 2: Convert to fraction form
    201,804.75/316,608.75 = 316,608.75/x
  3. Step 3: Cross multiply
    201,804.75x = 316,608.75 × 316,608.75
  4. Step 4: Simplify right side
    201,804.75x = 100,241,100,576.56
  5. Step 5: Solve for x
    x = 100,241,100,576.56/201,804.75
  6. Step 6: Final answer
    x = 496,723.20

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.