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Finding the Third Proportional to 201,301.50 and 276,868.50

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Solution

The third proportional to 201,301.50 and 276,868.50 is: 380,802.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,301.50 : 276,868.50 = 276,868.50 : x
  2. Step 2: Convert to fraction form
    201,301.50/276,868.50 = 276,868.50/x
  3. Step 3: Cross multiply
    201,301.50x = 276,868.50 × 276,868.50
  4. Step 4: Simplify right side
    201,301.50x = 76,656,166,292.25
  5. Step 5: Solve for x
    x = 76,656,166,292.25/201,301.50
  6. Step 6: Final answer
    x = 380,802.76

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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.