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Finding the Third Proportional to 110,922 and 243,966

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Solution

The third proportional to 110,922 and 243,966 is: 536,587.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,922 : 243,966 = 243,966 : x
  2. Step 2: Convert to fraction form
    110,922/243,966 = 243,966/x
  3. Step 3: Cross multiply
    110,922x = 243,966 × 243,966
  4. Step 4: Simplify right side
    110,922x = 59,519,409,156
  5. Step 5: Solve for x
    x = 59,519,409,156/110,922
  6. Step 6: Final answer
    x = 536,587.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.