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Finding the Third Proportional to 178,317 and 264,529

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Solution

The third proportional to 178,317 and 264,529 is: 392,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,317 : 264,529 = 264,529 : x
  2. Step 2: Convert to fraction form
    178,317/264,529 = 264,529/x
  3. Step 3: Cross multiply
    178,317x = 264,529 × 264,529
  4. Step 4: Simplify right side
    178,317x = 69,975,591,841
  5. Step 5: Solve for x
    x = 69,975,591,841/178,317
  6. Step 6: Final answer
    x = 392,422.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.