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Finding the Third Proportional to 178,280 and 395,926

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Solution

The third proportional to 178,280 and 395,926 is: 879,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,280 : 395,926 = 395,926 : x
  2. Step 2: Convert to fraction form
    178,280/395,926 = 395,926/x
  3. Step 3: Cross multiply
    178,280x = 395,926 × 395,926
  4. Step 4: Simplify right side
    178,280x = 156,757,397,476
  5. Step 5: Solve for x
    x = 156,757,397,476/178,280
  6. Step 6: Final answer
    x = 879,276.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.