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Finding the Third Proportional to 180,850 and 392,834

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Solution

The third proportional to 180,850 and 392,834 is: 853,295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,850 : 392,834 = 392,834 : x
  2. Step 2: Convert to fraction form
    180,850/392,834 = 392,834/x
  3. Step 3: Cross multiply
    180,850x = 392,834 × 392,834
  4. Step 4: Simplify right side
    180,850x = 154,318,551,556
  5. Step 5: Solve for x
    x = 154,318,551,556/180,850
  6. Step 6: Final answer
    x = 853,295.83

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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.