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Finding the Third Proportional to 180,546 and 361,794

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Solution

The third proportional to 180,546 and 361,794 is: 724,994.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,546 : 361,794 = 361,794 : x
  2. Step 2: Convert to fraction form
    180,546/361,794 = 361,794/x
  3. Step 3: Cross multiply
    180,546x = 361,794 × 361,794
  4. Step 4: Simplify right side
    180,546x = 130,894,898,436
  5. Step 5: Solve for x
    x = 130,894,898,436/180,546
  6. Step 6: Final answer
    x = 724,994.73

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.