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Finding the Third Proportional to 114,244 and 254,984

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Solution

The third proportional to 114,244 and 254,984 is: 569,105.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,244 : 254,984 = 254,984 : x
  2. Step 2: Convert to fraction form
    114,244/254,984 = 254,984/x
  3. Step 3: Cross multiply
    114,244x = 254,984 × 254,984
  4. Step 4: Simplify right side
    114,244x = 65,016,840,256
  5. Step 5: Solve for x
    x = 65,016,840,256/114,244
  6. Step 6: Final answer
    x = 569,105.08

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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.