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Finding the Third Proportional to 238,188 and 368,649

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Solution

The third proportional to 238,188 and 368,649 is: 570,566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,188 : 368,649 = 368,649 : x
  2. Step 2: Convert to fraction form
    238,188/368,649 = 368,649/x
  3. Step 3: Cross multiply
    238,188x = 368,649 × 368,649
  4. Step 4: Simplify right side
    238,188x = 135,902,085,201
  5. Step 5: Solve for x
    x = 135,902,085,201/238,188
  6. Step 6: Final answer
    x = 570,566.47

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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.