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Finding the Third Proportional to 188,483 and 277,071

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Solution

The third proportional to 188,483 and 277,071 is: 407,295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,483 : 277,071 = 277,071 : x
  2. Step 2: Convert to fraction form
    188,483/277,071 = 277,071/x
  3. Step 3: Cross multiply
    188,483x = 277,071 × 277,071
  4. Step 4: Simplify right side
    188,483x = 76,768,339,041
  5. Step 5: Solve for x
    x = 76,768,339,041/188,483
  6. Step 6: Final answer
    x = 407,295.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.