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Finding the Third Proportional to 110,907 and 245,502

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Solution

The third proportional to 110,907 and 245,502 is: 543,439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,907 : 245,502 = 245,502 : x
  2. Step 2: Convert to fraction form
    110,907/245,502 = 245,502/x
  3. Step 3: Cross multiply
    110,907x = 245,502 × 245,502
  4. Step 4: Simplify right side
    110,907x = 60,271,232,004
  5. Step 5: Solve for x
    x = 60,271,232,004/110,907
  6. Step 6: Final answer
    x = 543,439.39

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.