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Finding the Third Proportional to 114,702 and 246,982

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Solution

The third proportional to 114,702 and 246,982 is: 531,813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,702 : 246,982 = 246,982 : x
  2. Step 2: Convert to fraction form
    114,702/246,982 = 246,982/x
  3. Step 3: Cross multiply
    114,702x = 246,982 × 246,982
  4. Step 4: Simplify right side
    114,702x = 61,000,108,324
  5. Step 5: Solve for x
    x = 61,000,108,324/114,702
  6. Step 6: Final answer
    x = 531,813.82

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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.