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Finding the Third Proportional to 238,170 and 368,619

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Solution

The third proportional to 238,170 and 368,619 is: 570,516.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,170 : 368,619 = 368,619 : x
  2. Step 2: Convert to fraction form
    238,170/368,619 = 368,619/x
  3. Step 3: Cross multiply
    238,170x = 368,619 × 368,619
  4. Step 4: Simplify right side
    238,170x = 135,879,967,161
  5. Step 5: Solve for x
    x = 135,879,967,161/238,170
  6. Step 6: Final answer
    x = 570,516.72

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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.