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Finding the Third Proportional to 105,348 and 248,718

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Solution

The third proportional to 105,348 and 248,718 is: 587,202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,348 : 248,718 = 248,718 : x
  2. Step 2: Convert to fraction form
    105,348/248,718 = 248,718/x
  3. Step 3: Cross multiply
    105,348x = 248,718 × 248,718
  4. Step 4: Simplify right side
    105,348x = 61,860,643,524
  5. Step 5: Solve for x
    x = 61,860,643,524/105,348
  6. Step 6: Final answer
    x = 587,202.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.