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Finding the Third Proportional to 281,106 and 612,104

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Solution

The third proportional to 281,106 and 612,104 is: 1,332,847.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,106 : 612,104 = 612,104 : x
  2. Step 2: Convert to fraction form
    281,106/612,104 = 612,104/x
  3. Step 3: Cross multiply
    281,106x = 612,104 × 612,104
  4. Step 4: Simplify right side
    281,106x = 374,671,306,816
  5. Step 5: Solve for x
    x = 374,671,306,816/281,106
  6. Step 6: Final answer
    x = 1,332,847.06

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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.