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Finding the Third Proportional to 255,296 and 365,440

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Solution

The third proportional to 255,296 and 365,440 is: 523,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,296 : 365,440 = 365,440 : x
  2. Step 2: Convert to fraction form
    255,296/365,440 = 365,440/x
  3. Step 3: Cross multiply
    255,296x = 365,440 × 365,440
  4. Step 4: Simplify right side
    255,296x = 133,546,393,600
  5. Step 5: Solve for x
    x = 133,546,393,600/255,296
  6. Step 6: Final answer
    x = 523,104.14

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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.