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Finding the Third Proportional to 155,506.50 and 327,615

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Solution

The third proportional to 155,506.50 and 327,615 is: 690,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,506.50 : 327,615 = 327,615 : x
  2. Step 2: Convert to fraction form
    155,506.50/327,615 = 327,615/x
  3. Step 3: Cross multiply
    155,506.50x = 327,615 × 327,615
  4. Step 4: Simplify right side
    155,506.50x = 107,331,588,225
  5. Step 5: Solve for x
    x = 107,331,588,225/155,506.50
  6. Step 6: Final answer
    x = 690,206.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.