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Finding the Third Proportional to 129,056 and 303,635

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Solution

The third proportional to 129,056 and 303,635 is: 714,373.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,056 : 303,635 = 303,635 : x
  2. Step 2: Convert to fraction form
    129,056/303,635 = 303,635/x
  3. Step 3: Cross multiply
    129,056x = 303,635 × 303,635
  4. Step 4: Simplify right side
    129,056x = 92,194,213,225
  5. Step 5: Solve for x
    x = 92,194,213,225/129,056
  6. Step 6: Final answer
    x = 714,373.71

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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.