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Finding the Third Proportional to 222,066 and 338,628

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Solution

The third proportional to 222,066 and 338,628 is: 516,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,066 : 338,628 = 338,628 : x
  2. Step 2: Convert to fraction form
    222,066/338,628 = 338,628/x
  3. Step 3: Cross multiply
    222,066x = 338,628 × 338,628
  4. Step 4: Simplify right side
    222,066x = 114,668,922,384
  5. Step 5: Solve for x
    x = 114,668,922,384/222,066
  6. Step 6: Final answer
    x = 516,373.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.