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Finding the Third Proportional to 102,022 and 220,666

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Solution

The third proportional to 102,022 and 220,666 is: 477,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,022 : 220,666 = 220,666 : x
  2. Step 2: Convert to fraction form
    102,022/220,666 = 220,666/x
  3. Step 3: Cross multiply
    102,022x = 220,666 × 220,666
  4. Step 4: Simplify right side
    102,022x = 48,693,483,556
  5. Step 5: Solve for x
    x = 48,693,483,556/102,022
  6. Step 6: Final answer
    x = 477,284.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.