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Finding the Third Proportional to 156,227 and 233,318

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Solution

The third proportional to 156,227 and 233,318 is: 348,449.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,227 : 233,318 = 233,318 : x
  2. Step 2: Convert to fraction form
    156,227/233,318 = 233,318/x
  3. Step 3: Cross multiply
    156,227x = 233,318 × 233,318
  4. Step 4: Simplify right side
    156,227x = 54,437,289,124
  5. Step 5: Solve for x
    x = 54,437,289,124/156,227
  6. Step 6: Final answer
    x = 348,449.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.