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Finding the Third Proportional to 227,601.75 and 492,108.75

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Solution

The third proportional to 227,601.75 and 492,108.75 is: 1,064,012.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,601.75 : 492,108.75 = 492,108.75 : x
  2. Step 2: Convert to fraction form
    227,601.75/492,108.75 = 492,108.75/x
  3. Step 3: Cross multiply
    227,601.75x = 492,108.75 × 492,108.75
  4. Step 4: Simplify right side
    227,601.75x = 242,171,021,826.56
  5. Step 5: Solve for x
    x = 242,171,021,826.56/227,601.75
  6. Step 6: Final answer
    x = 1,064,012.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.