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Finding the Third Proportional to 158,274 and 373,627

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Solution

The third proportional to 158,274 and 373,627 is: 881,996.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,274 : 373,627 = 373,627 : x
  2. Step 2: Convert to fraction form
    158,274/373,627 = 373,627/x
  3. Step 3: Cross multiply
    158,274x = 373,627 × 373,627
  4. Step 4: Simplify right side
    158,274x = 139,597,135,129
  5. Step 5: Solve for x
    x = 139,597,135,129/158,274
  6. Step 6: Final answer
    x = 881,996.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.