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Finding the Third Proportional to 222,669 and 359,214.75

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Solution

The third proportional to 222,669 and 359,214.75 is: 579,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,669 : 359,214.75 = 359,214.75 : x
  2. Step 2: Convert to fraction form
    222,669/359,214.75 = 359,214.75/x
  3. Step 3: Cross multiply
    222,669x = 359,214.75 × 359,214.75
  4. Step 4: Simplify right side
    222,669x = 129,035,236,617.56
  5. Step 5: Solve for x
    x = 129,035,236,617.56/222,669
  6. Step 6: Final answer
    x = 579,493.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.