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Finding the Third Proportional to 174,247 and 256,267

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Solution

The third proportional to 174,247 and 256,267 is: 376,894.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,247 : 256,267 = 256,267 : x
  2. Step 2: Convert to fraction form
    174,247/256,267 = 256,267/x
  3. Step 3: Cross multiply
    174,247x = 256,267 × 256,267
  4. Step 4: Simplify right side
    174,247x = 65,672,775,289
  5. Step 5: Solve for x
    x = 65,672,775,289/174,247
  6. Step 6: Final answer
    x = 376,894.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.