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Finding the Third Proportional to 111,924 and 243,326

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Solution

The third proportional to 111,924 and 243,326 is: 528,997.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,924 : 243,326 = 243,326 : x
  2. Step 2: Convert to fraction form
    111,924/243,326 = 243,326/x
  3. Step 3: Cross multiply
    111,924x = 243,326 × 243,326
  4. Step 4: Simplify right side
    111,924x = 59,207,542,276
  5. Step 5: Solve for x
    x = 59,207,542,276/111,924
  6. Step 6: Final answer
    x = 528,997.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.