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Finding the Third Proportional to 180,924 and 366,960

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Solution

The third proportional to 180,924 and 366,960 is: 744,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,924 : 366,960 = 366,960 : x
  2. Step 2: Convert to fraction form
    180,924/366,960 = 366,960/x
  3. Step 3: Cross multiply
    180,924x = 366,960 × 366,960
  4. Step 4: Simplify right side
    180,924x = 134,659,641,600
  5. Step 5: Solve for x
    x = 134,659,641,600/180,924
  6. Step 6: Final answer
    x = 744,288.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.