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Finding the Third Proportional to 128,204 and 281,010

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Solution

The third proportional to 128,204 and 281,010 is: 615,945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,204 : 281,010 = 281,010 : x
  2. Step 2: Convert to fraction form
    128,204/281,010 = 281,010/x
  3. Step 3: Cross multiply
    128,204x = 281,010 × 281,010
  4. Step 4: Simplify right side
    128,204x = 78,966,620,100
  5. Step 5: Solve for x
    x = 78,966,620,100/128,204
  6. Step 6: Final answer
    x = 615,945.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.