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Finding the Third Proportional to 140,615 and 303,685

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Solution

The third proportional to 140,615 and 303,685 is: 655,865.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,615 : 303,685 = 303,685 : x
  2. Step 2: Convert to fraction form
    140,615/303,685 = 303,685/x
  3. Step 3: Cross multiply
    140,615x = 303,685 × 303,685
  4. Step 4: Simplify right side
    140,615x = 92,224,579,225
  5. Step 5: Solve for x
    x = 92,224,579,225/140,615
  6. Step 6: Final answer
    x = 655,865.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.