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Finding the Third Proportional to 111,764 and 243,238

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Solution

The third proportional to 111,764 and 243,238 is: 529,371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,764 : 243,238 = 243,238 : x
  2. Step 2: Convert to fraction form
    111,764/243,238 = 243,238/x
  3. Step 3: Cross multiply
    111,764x = 243,238 × 243,238
  4. Step 4: Simplify right side
    111,764x = 59,164,724,644
  5. Step 5: Solve for x
    x = 59,164,724,644/111,764
  6. Step 6: Final answer
    x = 529,371.93

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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.