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Finding the Third Proportional to 222,228 and 353,025

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Solution

The third proportional to 222,228 and 353,025 is: 560,805.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,228 : 353,025 = 353,025 : x
  2. Step 2: Convert to fraction form
    222,228/353,025 = 353,025/x
  3. Step 3: Cross multiply
    222,228x = 353,025 × 353,025
  4. Step 4: Simplify right side
    222,228x = 124,626,650,625
  5. Step 5: Solve for x
    x = 124,626,650,625/222,228
  6. Step 6: Final answer
    x = 560,805.35

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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.