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Finding the Third Proportional to 114,756 and 246,114

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Solution

The third proportional to 114,756 and 246,114 is: 527,833.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,756 : 246,114 = 246,114 : x
  2. Step 2: Convert to fraction form
    114,756/246,114 = 246,114/x
  3. Step 3: Cross multiply
    114,756x = 246,114 × 246,114
  4. Step 4: Simplify right side
    114,756x = 60,572,100,996
  5. Step 5: Solve for x
    x = 60,572,100,996/114,756
  6. Step 6: Final answer
    x = 527,833.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.