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Finding the Third Proportional to 106,576 and 231,224

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Solution

The third proportional to 106,576 and 231,224 is: 501,656.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,576 : 231,224 = 231,224 : x
  2. Step 2: Convert to fraction form
    106,576/231,224 = 231,224/x
  3. Step 3: Cross multiply
    106,576x = 231,224 × 231,224
  4. Step 4: Simplify right side
    106,576x = 53,464,538,176
  5. Step 5: Solve for x
    x = 53,464,538,176/106,576
  6. Step 6: Final answer
    x = 501,656.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.