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Finding the Third Proportional to 115,466 and 252,256

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Solution

The third proportional to 115,466 and 252,256 is: 551,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,466 : 252,256 = 252,256 : x
  2. Step 2: Convert to fraction form
    115,466/252,256 = 252,256/x
  3. Step 3: Cross multiply
    115,466x = 252,256 × 252,256
  4. Step 4: Simplify right side
    115,466x = 63,633,089,536
  5. Step 5: Solve for x
    x = 63,633,089,536/115,466
  6. Step 6: Final answer
    x = 551,098.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.