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Finding the Third Proportional to 185,032 and 276,816

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Solution

The third proportional to 185,032 and 276,816 is: 414,128.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,032 : 276,816 = 276,816 : x
  2. Step 2: Convert to fraction form
    185,032/276,816 = 276,816/x
  3. Step 3: Cross multiply
    185,032x = 276,816 × 276,816
  4. Step 4: Simplify right side
    185,032x = 76,627,097,856
  5. Step 5: Solve for x
    x = 76,627,097,856/185,032
  6. Step 6: Final answer
    x = 414,128.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.