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Finding the Third Proportional to 114,208 and 245,916

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Solution

The third proportional to 114,208 and 245,916 is: 529,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,208 : 245,916 = 245,916 : x
  2. Step 2: Convert to fraction form
    114,208/245,916 = 245,916/x
  3. Step 3: Cross multiply
    114,208x = 245,916 × 245,916
  4. Step 4: Simplify right side
    114,208x = 60,474,679,056
  5. Step 5: Solve for x
    x = 60,474,679,056/114,208
  6. Step 6: Final answer
    x = 529,513.51

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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.