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Finding the Third Proportional to 189,528.75 and 276,880.50

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Solution

The third proportional to 189,528.75 and 276,880.50 is: 404,491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,528.75 : 276,880.50 = 276,880.50 : x
  2. Step 2: Convert to fraction form
    189,528.75/276,880.50 = 276,880.50/x
  3. Step 3: Cross multiply
    189,528.75x = 276,880.50 × 276,880.50
  4. Step 4: Simplify right side
    189,528.75x = 76,662,811,280.25
  5. Step 5: Solve for x
    x = 76,662,811,280.25/189,528.75
  6. Step 6: Final answer
    x = 404,491.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.