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Finding the Third Proportional to 218,160 and 475,736

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Solution

The third proportional to 218,160 and 475,736 is: 1,037,425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,160 : 475,736 = 475,736 : x
  2. Step 2: Convert to fraction form
    218,160/475,736 = 475,736/x
  3. Step 3: Cross multiply
    218,160x = 475,736 × 475,736
  4. Step 4: Simplify right side
    218,160x = 226,324,741,696
  5. Step 5: Solve for x
    x = 226,324,741,696/218,160
  6. Step 6: Final answer
    x = 1,037,425.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.