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Finding the Third Proportional to 183,686.50 and 276,880

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Solution

The third proportional to 183,686.50 and 276,880 is: 417,355.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,686.50 : 276,880 = 276,880 : x
  2. Step 2: Convert to fraction form
    183,686.50/276,880 = 276,880/x
  3. Step 3: Cross multiply
    183,686.50x = 276,880 × 276,880
  4. Step 4: Simplify right side
    183,686.50x = 76,662,534,400
  5. Step 5: Solve for x
    x = 76,662,534,400/183,686.50
  6. Step 6: Final answer
    x = 417,355.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.