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Finding the Third Proportional to 154,328 and 231,902

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Solution

The third proportional to 154,328 and 231,902 is: 348,469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,328 : 231,902 = 231,902 : x
  2. Step 2: Convert to fraction form
    154,328/231,902 = 231,902/x
  3. Step 3: Cross multiply
    154,328x = 231,902 × 231,902
  4. Step 4: Simplify right side
    154,328x = 53,778,537,604
  5. Step 5: Solve for x
    x = 53,778,537,604/154,328
  6. Step 6: Final answer
    x = 348,469.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.