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Finding the Third Proportional to 111,271.50 and 247,491

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Solution

The third proportional to 111,271.50 and 247,491 is: 550,471.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,271.50 : 247,491 = 247,491 : x
  2. Step 2: Convert to fraction form
    111,271.50/247,491 = 247,491/x
  3. Step 3: Cross multiply
    111,271.50x = 247,491 × 247,491
  4. Step 4: Simplify right side
    111,271.50x = 61,251,795,081
  5. Step 5: Solve for x
    x = 61,251,795,081/111,271.50
  6. Step 6: Final answer
    x = 550,471.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.