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Finding the Third Proportional to 268,362 and 372,024

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Solution

The third proportional to 268,362 and 372,024 is: 515,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,362 : 372,024 = 372,024 : x
  2. Step 2: Convert to fraction form
    268,362/372,024 = 372,024/x
  3. Step 3: Cross multiply
    268,362x = 372,024 × 372,024
  4. Step 4: Simplify right side
    268,362x = 138,401,856,576
  5. Step 5: Solve for x
    x = 138,401,856,576/268,362
  6. Step 6: Final answer
    x = 515,728.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.