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Finding the Third Proportional to 180,839 and 386,590

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Solution

The third proportional to 180,839 and 386,590 is: 826,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,839 : 386,590 = 386,590 : x
  2. Step 2: Convert to fraction form
    180,839/386,590 = 386,590/x
  3. Step 3: Cross multiply
    180,839x = 386,590 × 386,590
  4. Step 4: Simplify right side
    180,839x = 149,451,828,100
  5. Step 5: Solve for x
    x = 149,451,828,100/180,839
  6. Step 6: Final answer
    x = 826,435.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.