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Finding the Third Proportional to 178,576 and 270,168

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Solution

The third proportional to 178,576 and 270,168 is: 408,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,576 : 270,168 = 270,168 : x
  2. Step 2: Convert to fraction form
    178,576/270,168 = 270,168/x
  3. Step 3: Cross multiply
    178,576x = 270,168 × 270,168
  4. Step 4: Simplify right side
    178,576x = 72,990,748,224
  5. Step 5: Solve for x
    x = 72,990,748,224/178,576
  6. Step 6: Final answer
    x = 408,737.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.