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Finding the Third Proportional to 114,024 and 244,652

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Solution

The third proportional to 114,024 and 244,652 is: 524,929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,024 : 244,652 = 244,652 : x
  2. Step 2: Convert to fraction form
    114,024/244,652 = 244,652/x
  3. Step 3: Cross multiply
    114,024x = 244,652 × 244,652
  4. Step 4: Simplify right side
    114,024x = 59,854,601,104
  5. Step 5: Solve for x
    x = 59,854,601,104/114,024
  6. Step 6: Final answer
    x = 524,929.85

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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.