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Finding the Third Proportional to 180,860 and 392,856

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Solution

The third proportional to 180,860 and 392,856 is: 853,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,860 : 392,856 = 392,856 : x
  2. Step 2: Convert to fraction form
    180,860/392,856 = 392,856/x
  3. Step 3: Cross multiply
    180,860x = 392,856 × 392,856
  4. Step 4: Simplify right side
    180,860x = 154,335,836,736
  5. Step 5: Solve for x
    x = 154,335,836,736/180,860
  6. Step 6: Final answer
    x = 853,344.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.