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Finding the Third Proportional to 129,000 and 303,540

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Solution

The third proportional to 129,000 and 303,540 is: 714,236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,000 : 303,540 = 303,540 : x
  2. Step 2: Convert to fraction form
    129,000/303,540 = 303,540/x
  3. Step 3: Cross multiply
    129,000x = 303,540 × 303,540
  4. Step 4: Simplify right side
    129,000x = 92,136,531,600
  5. Step 5: Solve for x
    x = 92,136,531,600/129,000
  6. Step 6: Final answer
    x = 714,236.68

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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.