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Finding the Third Proportional to 241,177 and 525,211

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Solution

The third proportional to 241,177 and 525,211 is: 1,143,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,177 : 525,211 = 525,211 : x
  2. Step 2: Convert to fraction form
    241,177/525,211 = 525,211/x
  3. Step 3: Cross multiply
    241,177x = 525,211 × 525,211
  4. Step 4: Simplify right side
    241,177x = 275,846,594,521
  5. Step 5: Solve for x
    x = 275,846,594,521/241,177
  6. Step 6: Final answer
    x = 1,143,751.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.