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Finding the Third Proportional to 180,714 and 388,914

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Solution

The third proportional to 180,714 and 388,914 is: 836,980.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,714 : 388,914 = 388,914 : x
  2. Step 2: Convert to fraction form
    180,714/388,914 = 388,914/x
  3. Step 3: Cross multiply
    180,714x = 388,914 × 388,914
  4. Step 4: Simplify right side
    180,714x = 151,254,099,396
  5. Step 5: Solve for x
    x = 151,254,099,396/180,714
  6. Step 6: Final answer
    x = 836,980.53

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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.