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Finding the Third Proportional to 110,823 and 235,491

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Solution

The third proportional to 110,823 and 235,491 is: 500,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,823 : 235,491 = 235,491 : x
  2. Step 2: Convert to fraction form
    110,823/235,491 = 235,491/x
  3. Step 3: Cross multiply
    110,823x = 235,491 × 235,491
  4. Step 4: Simplify right side
    110,823x = 55,456,011,081
  5. Step 5: Solve for x
    x = 55,456,011,081/110,823
  6. Step 6: Final answer
    x = 500,401.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.