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Finding the Third Proportional to 178,200 and 384,252

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Solution

The third proportional to 178,200 and 384,252 is: 828,561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,200 : 384,252 = 384,252 : x
  2. Step 2: Convert to fraction form
    178,200/384,252 = 384,252/x
  3. Step 3: Cross multiply
    178,200x = 384,252 × 384,252
  4. Step 4: Simplify right side
    178,200x = 147,649,599,504
  5. Step 5: Solve for x
    x = 147,649,599,504/178,200
  6. Step 6: Final answer
    x = 828,561.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.