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Finding the Third Proportional to 218,106 and 455,976

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Solution

The third proportional to 218,106 and 455,976 is: 953,270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,106 : 455,976 = 455,976 : x
  2. Step 2: Convert to fraction form
    218,106/455,976 = 455,976/x
  3. Step 3: Cross multiply
    218,106x = 455,976 × 455,976
  4. Step 4: Simplify right side
    218,106x = 207,914,112,576
  5. Step 5: Solve for x
    x = 207,914,112,576/218,106
  6. Step 6: Final answer
    x = 953,270.94

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.