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Finding the Third Proportional to 238,266 and 368,595

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Solution

The third proportional to 238,266 and 368,595 is: 570,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,266 : 368,595 = 368,595 : x
  2. Step 2: Convert to fraction form
    238,266/368,595 = 368,595/x
  3. Step 3: Cross multiply
    238,266x = 368,595 × 368,595
  4. Step 4: Simplify right side
    238,266x = 135,862,274,025
  5. Step 5: Solve for x
    x = 135,862,274,025/238,266
  6. Step 6: Final answer
    x = 570,212.59

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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.