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Finding the Third Proportional to 114,660 and 252,576

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Solution

The third proportional to 114,660 and 252,576 is: 556,380.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,660 : 252,576 = 252,576 : x
  2. Step 2: Convert to fraction form
    114,660/252,576 = 252,576/x
  3. Step 3: Cross multiply
    114,660x = 252,576 × 252,576
  4. Step 4: Simplify right side
    114,660x = 63,794,635,776
  5. Step 5: Solve for x
    x = 63,794,635,776/114,660
  6. Step 6: Final answer
    x = 556,380.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.