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Finding the Third Proportional to 178,582 and 270,177

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Solution

The third proportional to 178,582 and 270,177 is: 408,751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,582 : 270,177 = 270,177 : x
  2. Step 2: Convert to fraction form
    178,582/270,177 = 270,177/x
  3. Step 3: Cross multiply
    178,582x = 270,177 × 270,177
  4. Step 4: Simplify right side
    178,582x = 72,995,611,329
  5. Step 5: Solve for x
    x = 72,995,611,329/178,582
  6. Step 6: Final answer
    x = 408,751.23

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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.