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Finding the Third Proportional to 201,195 and 301,817

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Solution

The third proportional to 201,195 and 301,817 is: 452,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,195 : 301,817 = 301,817 : x
  2. Step 2: Convert to fraction form
    201,195/301,817 = 301,817/x
  3. Step 3: Cross multiply
    201,195x = 301,817 × 301,817
  4. Step 4: Simplify right side
    201,195x = 91,093,501,489
  5. Step 5: Solve for x
    x = 91,093,501,489/201,195
  6. Step 6: Final answer
    x = 452,762.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.