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Finding the Third Proportional to 129,824 and 283,678

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Solution

The third proportional to 129,824 and 283,678 is: 619,863.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,824 : 283,678 = 283,678 : x
  2. Step 2: Convert to fraction form
    129,824/283,678 = 283,678/x
  3. Step 3: Cross multiply
    129,824x = 283,678 × 283,678
  4. Step 4: Simplify right side
    129,824x = 80,473,207,684
  5. Step 5: Solve for x
    x = 80,473,207,684/129,824
  6. Step 6: Final answer
    x = 619,863.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.