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Finding the Third Proportional to 116,246 and 246,442

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Solution

The third proportional to 116,246 and 246,442 is: 522,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,246 : 246,442 = 246,442 : x
  2. Step 2: Convert to fraction form
    116,246/246,442 = 246,442/x
  3. Step 3: Cross multiply
    116,246x = 246,442 × 246,442
  4. Step 4: Simplify right side
    116,246x = 60,733,659,364
  5. Step 5: Solve for x
    x = 60,733,659,364/116,246
  6. Step 6: Final answer
    x = 522,458.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.