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Finding the Third Proportional to 201,138.50 and 277,069.75

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Solution

The third proportional to 201,138.50 and 277,069.75 is: 381,665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,138.50 : 277,069.75 = 277,069.75 : x
  2. Step 2: Convert to fraction form
    201,138.50/277,069.75 = 277,069.75/x
  3. Step 3: Cross multiply
    201,138.50x = 277,069.75 × 277,069.75
  4. Step 4: Simplify right side
    201,138.50x = 76,767,646,365.06
  5. Step 5: Solve for x
    x = 76,767,646,365.06/201,138.50
  6. Step 6: Final answer
    x = 381,665.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.