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Finding the Third Proportional to 105,450 and 248,919

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Solution

The third proportional to 105,450 and 248,919 is: 587,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,450 : 248,919 = 248,919 : x
  2. Step 2: Convert to fraction form
    105,450/248,919 = 248,919/x
  3. Step 3: Cross multiply
    105,450x = 248,919 × 248,919
  4. Step 4: Simplify right side
    105,450x = 61,960,668,561
  5. Step 5: Solve for x
    x = 61,960,668,561/105,450
  6. Step 6: Final answer
    x = 587,583.39

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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.