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Finding the Third Proportional to 178,236 and 259,328

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Solution

The third proportional to 178,236 and 259,328 is: 377,314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,236 : 259,328 = 259,328 : x
  2. Step 2: Convert to fraction form
    178,236/259,328 = 259,328/x
  3. Step 3: Cross multiply
    178,236x = 259,328 × 259,328
  4. Step 4: Simplify right side
    178,236x = 67,251,011,584
  5. Step 5: Solve for x
    x = 67,251,011,584/178,236
  6. Step 6: Final answer
    x = 377,314.41

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.