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Finding the Third Proportional to 100,382 and 218,258

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Solution

The third proportional to 100,382 and 218,258 is: 474,552.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,382 : 218,258 = 218,258 : x
  2. Step 2: Convert to fraction form
    100,382/218,258 = 218,258/x
  3. Step 3: Cross multiply
    100,382x = 218,258 × 218,258
  4. Step 4: Simplify right side
    100,382x = 47,636,554,564
  5. Step 5: Solve for x
    x = 47,636,554,564/100,382
  6. Step 6: Final answer
    x = 474,552.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.