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Finding the Third Proportional to 238,128 and 324,284

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Solution

The third proportional to 238,128 and 324,284 is: 441,611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,128 : 324,284 = 324,284 : x
  2. Step 2: Convert to fraction form
    238,128/324,284 = 324,284/x
  3. Step 3: Cross multiply
    238,128x = 324,284 × 324,284
  4. Step 4: Simplify right side
    238,128x = 105,160,112,656
  5. Step 5: Solve for x
    x = 105,160,112,656/238,128
  6. Step 6: Final answer
    x = 441,611.71

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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.