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Finding the Third Proportional to 102,554 and 222,604

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Solution

The third proportional to 102,554 and 222,604 is: 483,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,554 : 222,604 = 222,604 : x
  2. Step 2: Convert to fraction form
    102,554/222,604 = 222,604/x
  3. Step 3: Cross multiply
    102,554x = 222,604 × 222,604
  4. Step 4: Simplify right side
    102,554x = 49,552,540,816
  5. Step 5: Solve for x
    x = 49,552,540,816/102,554
  6. Step 6: Final answer
    x = 483,184.87

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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.