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Finding the Third Proportional to 248,569 and 372,881

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Solution

The third proportional to 248,569 and 372,881 is: 559,362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,569 : 372,881 = 372,881 : x
  2. Step 2: Convert to fraction form
    248,569/372,881 = 372,881/x
  3. Step 3: Cross multiply
    248,569x = 372,881 × 372,881
  4. Step 4: Simplify right side
    248,569x = 139,040,240,161
  5. Step 5: Solve for x
    x = 139,040,240,161/248,569
  6. Step 6: Final answer
    x = 559,362.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.