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Finding the Third Proportional to 110,851 and 243,846

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Solution

The third proportional to 110,851 and 243,846 is: 536,403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,851 : 243,846 = 243,846 : x
  2. Step 2: Convert to fraction form
    110,851/243,846 = 243,846/x
  3. Step 3: Cross multiply
    110,851x = 243,846 × 243,846
  4. Step 4: Simplify right side
    110,851x = 59,460,871,716
  5. Step 5: Solve for x
    x = 59,460,871,716/110,851
  6. Step 6: Final answer
    x = 536,403.57

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