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Finding the Third Proportional to 129,399.50 and 281,579.50

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Solution

The third proportional to 129,399.50 and 281,579.50 is: 612,730.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,399.50 : 281,579.50 = 281,579.50 : x
  2. Step 2: Convert to fraction form
    129,399.50/281,579.50 = 281,579.50/x
  3. Step 3: Cross multiply
    129,399.50x = 281,579.50 × 281,579.50
  4. Step 4: Simplify right side
    129,399.50x = 79,287,014,820.25
  5. Step 5: Solve for x
    x = 79,287,014,820.25/129,399.50
  6. Step 6: Final answer
    x = 612,730.46

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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.