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Finding the Third Proportional to 201,013 and 272,993.50

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Solution

The third proportional to 201,013 and 272,993.50 is: 370,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,013 : 272,993.50 = 272,993.50 : x
  2. Step 2: Convert to fraction form
    201,013/272,993.50 = 272,993.50/x
  3. Step 3: Cross multiply
    201,013x = 272,993.50 × 272,993.50
  4. Step 4: Simplify right side
    201,013x = 74,525,451,042.25
  5. Step 5: Solve for x
    x = 74,525,451,042.25/201,013
  6. Step 6: Final answer
    x = 370,749.41

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.