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Finding the Third Proportional to 111,667 and 243,018

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Solution

The third proportional to 111,667 and 243,018 is: 528,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,667 : 243,018 = 243,018 : x
  2. Step 2: Convert to fraction form
    111,667/243,018 = 243,018/x
  3. Step 3: Cross multiply
    111,667x = 243,018 × 243,018
  4. Step 4: Simplify right side
    111,667x = 59,057,748,324
  5. Step 5: Solve for x
    x = 59,057,748,324/111,667
  6. Step 6: Final answer
    x = 528,873.78

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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.