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Finding the Third Proportional to 113,506 and 246,868

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Solution

The third proportional to 113,506 and 246,868 is: 536,921.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,506 : 246,868 = 246,868 : x
  2. Step 2: Convert to fraction form
    113,506/246,868 = 246,868/x
  3. Step 3: Cross multiply
    113,506x = 246,868 × 246,868
  4. Step 4: Simplify right side
    113,506x = 60,943,809,424
  5. Step 5: Solve for x
    x = 60,943,809,424/113,506
  6. Step 6: Final answer
    x = 536,921.48

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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.