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Finding the Third Proportional to 233,766 and 333,135

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Solution

The third proportional to 233,766 and 333,135 is: 474,743.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,766 : 333,135 = 333,135 : x
  2. Step 2: Convert to fraction form
    233,766/333,135 = 333,135/x
  3. Step 3: Cross multiply
    233,766x = 333,135 × 333,135
  4. Step 4: Simplify right side
    233,766x = 110,978,928,225
  5. Step 5: Solve for x
    x = 110,978,928,225/233,766
  6. Step 6: Final answer
    x = 474,743.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.