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Finding the Third Proportional to 126,208 and 275,258

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Solution

The third proportional to 126,208 and 275,258 is: 600,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,208 : 275,258 = 275,258 : x
  2. Step 2: Convert to fraction form
    126,208/275,258 = 275,258/x
  3. Step 3: Cross multiply
    126,208x = 275,258 × 275,258
  4. Step 4: Simplify right side
    126,208x = 75,766,966,564
  5. Step 5: Solve for x
    x = 75,766,966,564/126,208
  6. Step 6: Final answer
    x = 600,334.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.