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Finding the Third Proportional to 238,124 and 324,280

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Solution

The third proportional to 238,124 and 324,280 is: 441,608.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,124 : 324,280 = 324,280 : x
  2. Step 2: Convert to fraction form
    238,124/324,280 = 324,280/x
  3. Step 3: Cross multiply
    238,124x = 324,280 × 324,280
  4. Step 4: Simplify right side
    238,124x = 105,157,518,400
  5. Step 5: Solve for x
    x = 105,157,518,400/238,124
  6. Step 6: Final answer
    x = 441,608.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.