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Finding the Third Proportional to 118,448 and 253,176

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Solution

The third proportional to 118,448 and 253,176 is: 541,149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,448 : 253,176 = 253,176 : x
  2. Step 2: Convert to fraction form
    118,448/253,176 = 253,176/x
  3. Step 3: Cross multiply
    118,448x = 253,176 × 253,176
  4. Step 4: Simplify right side
    118,448x = 64,098,086,976
  5. Step 5: Solve for x
    x = 64,098,086,976/118,448
  6. Step 6: Final answer
    x = 541,149.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.