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Finding the Third Proportional to 222,948 and 349,218

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Solution

The third proportional to 222,948 and 349,218 is: 547,002.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,948 : 349,218 = 349,218 : x
  2. Step 2: Convert to fraction form
    222,948/349,218 = 349,218/x
  3. Step 3: Cross multiply
    222,948x = 349,218 × 349,218
  4. Step 4: Simplify right side
    222,948x = 121,953,211,524
  5. Step 5: Solve for x
    x = 121,953,211,524/222,948
  6. Step 6: Final answer
    x = 547,002.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.