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Finding the Third Proportional to 155,996 and 239,627

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Solution

The third proportional to 155,996 and 239,627 is: 368,093.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,996 : 239,627 = 239,627 : x
  2. Step 2: Convert to fraction form
    155,996/239,627 = 239,627/x
  3. Step 3: Cross multiply
    155,996x = 239,627 × 239,627
  4. Step 4: Simplify right side
    155,996x = 57,421,099,129
  5. Step 5: Solve for x
    x = 57,421,099,129/155,996
  6. Step 6: Final answer
    x = 368,093.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.