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Finding the Third Proportional to 128,615 and 276,983.50

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Solution

The third proportional to 128,615 and 276,983.50 is: 596,507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,615 : 276,983.50 = 276,983.50 : x
  2. Step 2: Convert to fraction form
    128,615/276,983.50 = 276,983.50/x
  3. Step 3: Cross multiply
    128,615x = 276,983.50 × 276,983.50
  4. Step 4: Simplify right side
    128,615x = 76,719,859,272.25
  5. Step 5: Solve for x
    x = 76,719,859,272.25/128,615
  6. Step 6: Final answer
    x = 596,507.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.