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Finding the Third Proportional to 222,192 and 357,802

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Solution

The third proportional to 222,192 and 357,802 is: 576,178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,192 : 357,802 = 357,802 : x
  2. Step 2: Convert to fraction form
    222,192/357,802 = 357,802/x
  3. Step 3: Cross multiply
    222,192x = 357,802 × 357,802
  4. Step 4: Simplify right side
    222,192x = 128,022,271,204
  5. Step 5: Solve for x
    x = 128,022,271,204/222,192
  6. Step 6: Final answer
    x = 576,178.58

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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.