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Finding the Third Proportional to 222,576 and 341,235

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Solution

The third proportional to 222,576 and 341,235 is: 523,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,576 : 341,235 = 341,235 : x
  2. Step 2: Convert to fraction form
    222,576/341,235 = 341,235/x
  3. Step 3: Cross multiply
    222,576x = 341,235 × 341,235
  4. Step 4: Simplify right side
    222,576x = 116,441,325,225
  5. Step 5: Solve for x
    x = 116,441,325,225/222,576
  6. Step 6: Final answer
    x = 523,153.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.