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Finding the Third Proportional to 227,192 and 468,952

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Solution

The third proportional to 227,192 and 468,952 is: 967,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,192 : 468,952 = 468,952 : x
  2. Step 2: Convert to fraction form
    227,192/468,952 = 468,952/x
  3. Step 3: Cross multiply
    227,192x = 468,952 × 468,952
  4. Step 4: Simplify right side
    227,192x = 219,915,978,304
  5. Step 5: Solve for x
    x = 219,915,978,304/227,192
  6. Step 6: Final answer
    x = 967,974.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.