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Finding the Third Proportional to 112,907 and 248,854

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Solution

The third proportional to 112,907 and 248,854 is: 548,489.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,907 : 248,854 = 248,854 : x
  2. Step 2: Convert to fraction form
    112,907/248,854 = 248,854/x
  3. Step 3: Cross multiply
    112,907x = 248,854 × 248,854
  4. Step 4: Simplify right side
    112,907x = 61,928,313,316
  5. Step 5: Solve for x
    x = 61,928,313,316/112,907
  6. Step 6: Final answer
    x = 548,489.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.