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Finding the Third Proportional to 105,447 and 248,911

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Solution

The third proportional to 105,447 and 248,911 is: 587,562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,447 : 248,911 = 248,911 : x
  2. Step 2: Convert to fraction form
    105,447/248,911 = 248,911/x
  3. Step 3: Cross multiply
    105,447x = 248,911 × 248,911
  4. Step 4: Simplify right side
    105,447x = 61,956,685,921
  5. Step 5: Solve for x
    x = 61,956,685,921/105,447
  6. Step 6: Final answer
    x = 587,562.34

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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.