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Finding the Third Proportional to 102,168 and 218,304

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Solution

The third proportional to 102,168 and 218,304 is: 466,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,168 : 218,304 = 218,304 : x
  2. Step 2: Convert to fraction form
    102,168/218,304 = 218,304/x
  3. Step 3: Cross multiply
    102,168x = 218,304 × 218,304
  4. Step 4: Simplify right side
    102,168x = 47,656,636,416
  5. Step 5: Solve for x
    x = 47,656,636,416/102,168
  6. Step 6: Final answer
    x = 466,453.65

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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.