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Finding the Third Proportional to 248,328 and 371,503

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Solution

The third proportional to 248,328 and 371,503 is: 555,774.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,328 : 371,503 = 371,503 : x
  2. Step 2: Convert to fraction form
    248,328/371,503 = 371,503/x
  3. Step 3: Cross multiply
    248,328x = 371,503 × 371,503
  4. Step 4: Simplify right side
    248,328x = 138,014,479,009
  5. Step 5: Solve for x
    x = 138,014,479,009/248,328
  6. Step 6: Final answer
    x = 555,774.94

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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.