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Finding the Third Proportional to 129,546 and 283,104

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Solution

The third proportional to 129,546 and 283,104 is: 618,682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,546 : 283,104 = 283,104 : x
  2. Step 2: Convert to fraction form
    129,546/283,104 = 283,104/x
  3. Step 3: Cross multiply
    129,546x = 283,104 × 283,104
  4. Step 4: Simplify right side
    129,546x = 80,147,874,816
  5. Step 5: Solve for x
    x = 80,147,874,816/129,546
  6. Step 6: Final answer
    x = 618,682.74

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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.