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Finding the Third Proportional to 240,198 and 525,540

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Solution

The third proportional to 240,198 and 525,540 is: 1,149,852.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,198 : 525,540 = 525,540 : x
  2. Step 2: Convert to fraction form
    240,198/525,540 = 525,540/x
  3. Step 3: Cross multiply
    240,198x = 525,540 × 525,540
  4. Step 4: Simplify right side
    240,198x = 276,192,291,600
  5. Step 5: Solve for x
    x = 276,192,291,600/240,198
  6. Step 6: Final answer
    x = 1,149,852.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.