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Finding the Third Proportional to 222,823.50 and 481,155

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Solution

The third proportional to 222,823.50 and 481,155 is: 1,038,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,823.50 : 481,155 = 481,155 : x
  2. Step 2: Convert to fraction form
    222,823.50/481,155 = 481,155/x
  3. Step 3: Cross multiply
    222,823.50x = 481,155 × 481,155
  4. Step 4: Simplify right side
    222,823.50x = 231,510,134,025
  5. Step 5: Solve for x
    x = 231,510,134,025/222,823.50
  6. Step 6: Final answer
    x = 1,038,984.37

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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.