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Finding the Third Proportional to 227,188 and 468,944

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Solution

The third proportional to 227,188 and 468,944 is: 967,958.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,188 : 468,944 = 468,944 : x
  2. Step 2: Convert to fraction form
    227,188/468,944 = 468,944/x
  3. Step 3: Cross multiply
    227,188x = 468,944 × 468,944
  4. Step 4: Simplify right side
    227,188x = 219,908,475,136
  5. Step 5: Solve for x
    x = 219,908,475,136/227,188
  6. Step 6: Final answer
    x = 967,958.15

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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.