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Finding the Third Proportional to 115,442 and 252,266

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Solution

The third proportional to 115,442 and 252,266 is: 551,256.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,442 : 252,266 = 252,266 : x
  2. Step 2: Convert to fraction form
    115,442/252,266 = 252,266/x
  3. Step 3: Cross multiply
    115,442x = 252,266 × 252,266
  4. Step 4: Simplify right side
    115,442x = 63,638,134,756
  5. Step 5: Solve for x
    x = 63,638,134,756/115,442
  6. Step 6: Final answer
    x = 551,256.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.