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Finding the Third Proportional to 254,110 and 374,126

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Solution

The third proportional to 254,110 and 374,126 is: 550,825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,110 : 374,126 = 374,126 : x
  2. Step 2: Convert to fraction form
    254,110/374,126 = 374,126/x
  3. Step 3: Cross multiply
    254,110x = 374,126 × 374,126
  4. Step 4: Simplify right side
    254,110x = 139,970,263,876
  5. Step 5: Solve for x
    x = 139,970,263,876/254,110
  6. Step 6: Final answer
    x = 550,825.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.