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Finding the Third Proportional to 111,667 and 243,021

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Solution

The third proportional to 111,667 and 243,021 is: 528,886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,667 : 243,021 = 243,021 : x
  2. Step 2: Convert to fraction form
    111,667/243,021 = 243,021/x
  3. Step 3: Cross multiply
    111,667x = 243,021 × 243,021
  4. Step 4: Simplify right side
    111,667x = 59,059,206,441
  5. Step 5: Solve for x
    x = 59,059,206,441/111,667
  6. Step 6: Final answer
    x = 528,886.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.