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Finding the Third Proportional to 110,916 and 243,396

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Solution

The third proportional to 110,916 and 243,396 is: 534,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,916 : 243,396 = 243,396 : x
  2. Step 2: Convert to fraction form
    110,916/243,396 = 243,396/x
  3. Step 3: Cross multiply
    110,916x = 243,396 × 243,396
  4. Step 4: Simplify right side
    110,916x = 59,241,612,816
  5. Step 5: Solve for x
    x = 59,241,612,816/110,916
  6. Step 6: Final answer
    x = 534,112.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.