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Finding the Third Proportional to 129,063.50 and 303,652

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Solution

The third proportional to 129,063.50 and 303,652 is: 714,412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,063.50 : 303,652 = 303,652 : x
  2. Step 2: Convert to fraction form
    129,063.50/303,652 = 303,652/x
  3. Step 3: Cross multiply
    129,063.50x = 303,652 × 303,652
  4. Step 4: Simplify right side
    129,063.50x = 92,204,537,104
  5. Step 5: Solve for x
    x = 92,204,537,104/129,063.50
  6. Step 6: Final answer
    x = 714,412.19

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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.