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Finding the Third Proportional to 247,923 and 535,198.50

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Solution

The third proportional to 247,923 and 535,198.50 is: 1,155,348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,923 : 535,198.50 = 535,198.50 : x
  2. Step 2: Convert to fraction form
    247,923/535,198.50 = 535,198.50/x
  3. Step 3: Cross multiply
    247,923x = 535,198.50 × 535,198.50
  4. Step 4: Simplify right side
    247,923x = 286,437,434,402.25
  5. Step 5: Solve for x
    x = 286,437,434,402.25/247,923
  6. Step 6: Final answer
    x = 1,155,348.37

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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.