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Finding the Third Proportional to 188,233 and 276,072

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Solution

The third proportional to 188,233 and 276,072 is: 404,901.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,233 : 276,072 = 276,072 : x
  2. Step 2: Convert to fraction form
    188,233/276,072 = 276,072/x
  3. Step 3: Cross multiply
    188,233x = 276,072 × 276,072
  4. Step 4: Simplify right side
    188,233x = 76,215,749,184
  5. Step 5: Solve for x
    x = 76,215,749,184/188,233
  6. Step 6: Final answer
    x = 404,901.10

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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.