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Finding the Third Proportional to 129,048 and 283,536

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Solution

The third proportional to 129,048 and 283,536 is: 622,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,048 : 283,536 = 283,536 : x
  2. Step 2: Convert to fraction form
    129,048/283,536 = 283,536/x
  3. Step 3: Cross multiply
    129,048x = 283,536 × 283,536
  4. Step 4: Simplify right side
    129,048x = 80,392,663,296
  5. Step 5: Solve for x
    x = 80,392,663,296/129,048
  6. Step 6: Final answer
    x = 622,967.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.