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Finding the Third Proportional to 176,318 and 268,608

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Solution

The third proportional to 176,318 and 268,608 is: 409,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,318 : 268,608 = 268,608 : x
  2. Step 2: Convert to fraction form
    176,318/268,608 = 268,608/x
  3. Step 3: Cross multiply
    176,318x = 268,608 × 268,608
  4. Step 4: Simplify right side
    176,318x = 72,150,257,664
  5. Step 5: Solve for x
    x = 72,150,257,664/176,318
  6. Step 6: Final answer
    x = 409,205.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.