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Finding the Third Proportional to 114,700 and 246,977

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Solution

The third proportional to 114,700 and 246,977 is: 531,801.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,700 : 246,977 = 246,977 : x
  2. Step 2: Convert to fraction form
    114,700/246,977 = 246,977/x
  3. Step 3: Cross multiply
    114,700x = 246,977 × 246,977
  4. Step 4: Simplify right side
    114,700x = 60,997,638,529
  5. Step 5: Solve for x
    x = 60,997,638,529/114,700
  6. Step 6: Final answer
    x = 531,801.56

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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.