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Finding the Third Proportional to 235,840 and 333,400

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Solution

The third proportional to 235,840 and 333,400 is: 471,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,840 : 333,400 = 333,400 : x
  2. Step 2: Convert to fraction form
    235,840/333,400 = 333,400/x
  3. Step 3: Cross multiply
    235,840x = 333,400 × 333,400
  4. Step 4: Simplify right side
    235,840x = 111,155,560,000
  5. Step 5: Solve for x
    x = 111,155,560,000/235,840
  6. Step 6: Final answer
    x = 471,317.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.