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Finding the Third Proportional to 103,632 and 222,399

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Solution

The third proportional to 103,632 and 222,399 is: 477,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,632 : 222,399 = 222,399 : x
  2. Step 2: Convert to fraction form
    103,632/222,399 = 222,399/x
  3. Step 3: Cross multiply
    103,632x = 222,399 × 222,399
  4. Step 4: Simplify right side
    103,632x = 49,461,315,201
  5. Step 5: Solve for x
    x = 49,461,315,201/103,632
  6. Step 6: Final answer
    x = 477,278.40

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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.