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Finding the Third Proportional to 144,108 and 230,215

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Solution

The third proportional to 144,108 and 230,215 is: 367,772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,108 : 230,215 = 230,215 : x
  2. Step 2: Convert to fraction form
    144,108/230,215 = 230,215/x
  3. Step 3: Cross multiply
    144,108x = 230,215 × 230,215
  4. Step 4: Simplify right side
    144,108x = 52,998,946,225
  5. Step 5: Solve for x
    x = 52,998,946,225/144,108
  6. Step 6: Final answer
    x = 367,772.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.