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Finding the Third Proportional to 104,324 and 225,278

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Solution

The third proportional to 104,324 and 225,278 is: 486,466.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,324 : 225,278 = 225,278 : x
  2. Step 2: Convert to fraction form
    104,324/225,278 = 225,278/x
  3. Step 3: Cross multiply
    104,324x = 225,278 × 225,278
  4. Step 4: Simplify right side
    104,324x = 50,750,177,284
  5. Step 5: Solve for x
    x = 50,750,177,284/104,324
  6. Step 6: Final answer
    x = 486,466.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.