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Finding the Third Proportional to 128,208 and 281,018

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Solution

The third proportional to 128,208 and 281,018 is: 615,960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,208 : 281,018 = 281,018 : x
  2. Step 2: Convert to fraction form
    128,208/281,018 = 281,018/x
  3. Step 3: Cross multiply
    128,208x = 281,018 × 281,018
  4. Step 4: Simplify right side
    128,208x = 78,971,116,324
  5. Step 5: Solve for x
    x = 78,971,116,324/128,208
  6. Step 6: Final answer
    x = 615,960.91

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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.