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Finding the Third Proportional to 248,069 and 349,348

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Solution

The third proportional to 248,069 and 349,348 is: 491,976.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,069 : 349,348 = 349,348 : x
  2. Step 2: Convert to fraction form
    248,069/349,348 = 349,348/x
  3. Step 3: Cross multiply
    248,069x = 349,348 × 349,348
  4. Step 4: Simplify right side
    248,069x = 122,044,025,104
  5. Step 5: Solve for x
    x = 122,044,025,104/248,069
  6. Step 6: Final answer
    x = 491,976.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.