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Finding the Third Proportional to 129,063.75 and 303,653.25

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Solution

The third proportional to 129,063.75 and 303,653.25 is: 714,416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,063.75 : 303,653.25 = 303,653.25 : x
  2. Step 2: Convert to fraction form
    129,063.75/303,653.25 = 303,653.25/x
  3. Step 3: Cross multiply
    129,063.75x = 303,653.25 × 303,653.25
  4. Step 4: Simplify right side
    129,063.75x = 92,205,296,235.56
  5. Step 5: Solve for x
    x = 92,205,296,235.56/129,063.75
  6. Step 6: Final answer
    x = 714,416.68

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.