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Finding the Third Proportional to 113,628 and 246,912

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Solution

The third proportional to 113,628 and 246,912 is: 536,536.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,628 : 246,912 = 246,912 : x
  2. Step 2: Convert to fraction form
    113,628/246,912 = 246,912/x
  3. Step 3: Cross multiply
    113,628x = 246,912 × 246,912
  4. Step 4: Simplify right side
    113,628x = 60,965,535,744
  5. Step 5: Solve for x
    x = 60,965,535,744/113,628
  6. Step 6: Final answer
    x = 536,536.20

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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.