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Finding the Third Proportional to 180,532 and 361,764

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Solution

The third proportional to 180,532 and 361,764 is: 724,930.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,532 : 361,764 = 361,764 : x
  2. Step 2: Convert to fraction form
    180,532/361,764 = 361,764/x
  3. Step 3: Cross multiply
    180,532x = 361,764 × 361,764
  4. Step 4: Simplify right side
    180,532x = 130,873,191,696
  5. Step 5: Solve for x
    x = 130,873,191,696/180,532
  6. Step 6: Final answer
    x = 724,930.71

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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.