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Finding the Third Proportional to 103,634 and 222,403

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Solution

The third proportional to 103,634 and 222,403 is: 477,286.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634 : 222,403 = 222,403 : x
  2. Step 2: Convert to fraction form
    103,634/222,403 = 222,403/x
  3. Step 3: Cross multiply
    103,634x = 222,403 × 222,403
  4. Step 4: Simplify right side
    103,634x = 49,463,094,409
  5. Step 5: Solve for x
    x = 49,463,094,409/103,634
  6. Step 6: Final answer
    x = 477,286.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.