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Finding the Third Proportional to 188,256 and 367,053

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Solution

The third proportional to 188,256 and 367,053 is: 715,663.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,256 : 367,053 = 367,053 : x
  2. Step 2: Convert to fraction form
    188,256/367,053 = 367,053/x
  3. Step 3: Cross multiply
    188,256x = 367,053 × 367,053
  4. Step 4: Simplify right side
    188,256x = 134,727,904,809
  5. Step 5: Solve for x
    x = 134,727,904,809/188,256
  6. Step 6: Final answer
    x = 715,663.27

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.