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Finding the Third Proportional to 238,119 and 324,273

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Solution

The third proportional to 238,119 and 324,273 is: 441,598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,119 : 324,273 = 324,273 : x
  2. Step 2: Convert to fraction form
    238,119/324,273 = 324,273/x
  3. Step 3: Cross multiply
    238,119x = 324,273 × 324,273
  4. Step 4: Simplify right side
    238,119x = 105,152,978,529
  5. Step 5: Solve for x
    x = 105,152,978,529/238,119
  6. Step 6: Final answer
    x = 441,598.44

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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.