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Finding the Third Proportional to 240,686 and 374,191

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Solution

The third proportional to 240,686 and 374,191 is: 581,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,686 : 374,191 = 374,191 : x
  2. Step 2: Convert to fraction form
    240,686/374,191 = 374,191/x
  3. Step 3: Cross multiply
    240,686x = 374,191 × 374,191
  4. Step 4: Simplify right side
    240,686x = 140,018,904,481
  5. Step 5: Solve for x
    x = 140,018,904,481/240,686
  6. Step 6: Final answer
    x = 581,749.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.