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Finding the Third Proportional to 178,928 and 263,200

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Solution

The third proportional to 178,928 and 263,200 is: 387,162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,928 : 263,200 = 263,200 : x
  2. Step 2: Convert to fraction form
    178,928/263,200 = 263,200/x
  3. Step 3: Cross multiply
    178,928x = 263,200 × 263,200
  4. Step 4: Simplify right side
    178,928x = 69,274,240,000
  5. Step 5: Solve for x
    x = 69,274,240,000/178,928
  6. Step 6: Final answer
    x = 387,162.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.