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Finding the Third Proportional to 218,382 and 463,116

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Solution

The third proportional to 218,382 and 463,116 is: 982,115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,382 : 463,116 = 463,116 : x
  2. Step 2: Convert to fraction form
    218,382/463,116 = 463,116/x
  3. Step 3: Cross multiply
    218,382x = 463,116 × 463,116
  4. Step 4: Simplify right side
    218,382x = 214,476,429,456
  5. Step 5: Solve for x
    x = 214,476,429,456/218,382
  6. Step 6: Final answer
    x = 982,115.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.