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Finding the Third Proportional to 238,174 and 368,625

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Solution

The third proportional to 238,174 and 368,625 is: 570,525.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,174 : 368,625 = 368,625 : x
  2. Step 2: Convert to fraction form
    238,174/368,625 = 368,625/x
  3. Step 3: Cross multiply
    238,174x = 368,625 × 368,625
  4. Step 4: Simplify right side
    238,174x = 135,884,390,625
  5. Step 5: Solve for x
    x = 135,884,390,625/238,174
  6. Step 6: Final answer
    x = 570,525.71

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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.