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Finding the Third Proportional to 256 and 365

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Solution

The third proportional to 256 and 365 is: 520.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 365 = 365 : x
  2. Step 2: Convert to fraction form
    256/365 = 365/x
  3. Step 3: Cross multiply
    256x = 365 × 365
  4. Step 4: Simplify right side
    256x = 133,225
  5. Step 5: Solve for x
    x = 133,225/256
  6. Step 6: Final answer
    x = 520.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.