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Finding the Third Proportional to 178,380 and 237,926

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Solution

The third proportional to 178,380 and 237,926 is: 317,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,380 : 237,926 = 237,926 : x
  2. Step 2: Convert to fraction form
    178,380/237,926 = 237,926/x
  3. Step 3: Cross multiply
    178,380x = 237,926 × 237,926
  4. Step 4: Simplify right side
    178,380x = 56,608,781,476
  5. Step 5: Solve for x
    x = 56,608,781,476/178,380
  6. Step 6: Final answer
    x = 317,349.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.