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Finding the Third Proportional to 113,401 and 246,506

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Solution

The third proportional to 113,401 and 246,506 is: 535,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,401 : 246,506 = 246,506 : x
  2. Step 2: Convert to fraction form
    113,401/246,506 = 246,506/x
  3. Step 3: Cross multiply
    113,401x = 246,506 × 246,506
  4. Step 4: Simplify right side
    113,401x = 60,765,208,036
  5. Step 5: Solve for x
    x = 60,765,208,036/113,401
  6. Step 6: Final answer
    x = 535,843.67

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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.