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Finding the Third Proportional to 222,124 and 353,278

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Solution

The third proportional to 222,124 and 353,278 is: 561,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,124 : 353,278 = 353,278 : x
  2. Step 2: Convert to fraction form
    222,124/353,278 = 353,278/x
  3. Step 3: Cross multiply
    222,124x = 353,278 × 353,278
  4. Step 4: Simplify right side
    222,124x = 124,805,345,284
  5. Step 5: Solve for x
    x = 124,805,345,284/222,124
  6. Step 6: Final answer
    x = 561,872.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.