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Finding the Third Proportional to 112,356 and 241,234

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Solution

The third proportional to 112,356 and 241,234 is: 517,941.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,356 : 241,234 = 241,234 : x
  2. Step 2: Convert to fraction form
    112,356/241,234 = 241,234/x
  3. Step 3: Cross multiply
    112,356x = 241,234 × 241,234
  4. Step 4: Simplify right side
    112,356x = 58,193,842,756
  5. Step 5: Solve for x
    x = 58,193,842,756/112,356
  6. Step 6: Final answer
    x = 517,941.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.