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Finding the Third Proportional to 180,846 and 392,827

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Solution

The third proportional to 180,846 and 392,827 is: 853,284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,846 : 392,827 = 392,827 : x
  2. Step 2: Convert to fraction form
    180,846/392,827 = 392,827/x
  3. Step 3: Cross multiply
    180,846x = 392,827 × 392,827
  4. Step 4: Simplify right side
    180,846x = 154,313,051,929
  5. Step 5: Solve for x
    x = 154,313,051,929/180,846
  6. Step 6: Final answer
    x = 853,284.30

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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.