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Finding the Third Proportional to 188,536 and 276,468

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Solution

The third proportional to 188,536 and 276,468 is: 405,410.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,536 : 276,468 = 276,468 : x
  2. Step 2: Convert to fraction form
    188,536/276,468 = 276,468/x
  3. Step 3: Cross multiply
    188,536x = 276,468 × 276,468
  4. Step 4: Simplify right side
    188,536x = 76,434,555,024
  5. Step 5: Solve for x
    x = 76,434,555,024/188,536
  6. Step 6: Final answer
    x = 405,410.93

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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.