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Finding the Third Proportional to 112,176.75 and 241,964.25

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Solution

The third proportional to 112,176.75 and 241,964.25 is: 521,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,176.75 : 241,964.25 = 241,964.25 : x
  2. Step 2: Convert to fraction form
    112,176.75/241,964.25 = 241,964.25/x
  3. Step 3: Cross multiply
    112,176.75x = 241,964.25 × 241,964.25
  4. Step 4: Simplify right side
    112,176.75x = 58,546,698,278.06
  5. Step 5: Solve for x
    x = 58,546,698,278.06/112,176.75
  6. Step 6: Final answer
    x = 521,914.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.