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Finding the Third Proportional to 129,994.50 and 270,195

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Solution

The third proportional to 129,994.50 and 270,195 is: 561,603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,994.50 : 270,195 = 270,195 : x
  2. Step 2: Convert to fraction form
    129,994.50/270,195 = 270,195/x
  3. Step 3: Cross multiply
    129,994.50x = 270,195 × 270,195
  4. Step 4: Simplify right side
    129,994.50x = 73,005,338,025
  5. Step 5: Solve for x
    x = 73,005,338,025/129,994.50
  6. Step 6: Final answer
    x = 561,603.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.