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Finding the Third Proportional to 105,576.75 and 227,657.25

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Solution

The third proportional to 105,576.75 and 227,657.25 is: 490,901.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,576.75 : 227,657.25 = 227,657.25 : x
  2. Step 2: Convert to fraction form
    105,576.75/227,657.25 = 227,657.25/x
  3. Step 3: Cross multiply
    105,576.75x = 227,657.25 × 227,657.25
  4. Step 4: Simplify right side
    105,576.75x = 51,827,823,477.56
  5. Step 5: Solve for x
    x = 51,827,823,477.56/105,576.75
  6. Step 6: Final answer
    x = 490,901.87

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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.