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Finding the Third Proportional to 117,239 and 252,254

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Solution

The third proportional to 117,239 and 252,254 is: 542,755.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,239 : 252,254 = 252,254 : x
  2. Step 2: Convert to fraction form
    117,239/252,254 = 252,254/x
  3. Step 3: Cross multiply
    117,239x = 252,254 × 252,254
  4. Step 4: Simplify right side
    117,239x = 63,632,080,516
  5. Step 5: Solve for x
    x = 63,632,080,516/117,239
  6. Step 6: Final answer
    x = 542,755.23

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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.