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Finding the Third Proportional to 114,254 and 255,004

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Solution

The third proportional to 114,254 and 255,004 is: 569,144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,254 : 255,004 = 255,004 : x
  2. Step 2: Convert to fraction form
    114,254/255,004 = 255,004/x
  3. Step 3: Cross multiply
    114,254x = 255,004 × 255,004
  4. Step 4: Simplify right side
    114,254x = 65,027,040,016
  5. Step 5: Solve for x
    x = 65,027,040,016/114,254
  6. Step 6: Final answer
    x = 569,144.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.