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Finding the Third Proportional to 112,241 and 242,286

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Solution

The third proportional to 112,241 and 242,286 is: 523,004.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,241 : 242,286 = 242,286 : x
  2. Step 2: Convert to fraction form
    112,241/242,286 = 242,286/x
  3. Step 3: Cross multiply
    112,241x = 242,286 × 242,286
  4. Step 4: Simplify right side
    112,241x = 58,702,505,796
  5. Step 5: Solve for x
    x = 58,702,505,796/112,241
  6. Step 6: Final answer
    x = 523,004.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.