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Finding the Third Proportional to 180,339 and 387,834

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Solution

The third proportional to 180,339 and 387,834 is: 834,069.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,339 : 387,834 = 387,834 : x
  2. Step 2: Convert to fraction form
    180,339/387,834 = 387,834/x
  3. Step 3: Cross multiply
    180,339x = 387,834 × 387,834
  4. Step 4: Simplify right side
    180,339x = 150,415,211,556
  5. Step 5: Solve for x
    x = 150,415,211,556/180,339
  6. Step 6: Final answer
    x = 834,069.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.