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Finding the Third Proportional to 114,563 and 270,873

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Solution

The third proportional to 114,563 and 270,873 is: 640,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,563 : 270,873 = 270,873 : x
  2. Step 2: Convert to fraction form
    114,563/270,873 = 270,873/x
  3. Step 3: Cross multiply
    114,563x = 270,873 × 270,873
  4. Step 4: Simplify right side
    114,563x = 73,372,182,129
  5. Step 5: Solve for x
    x = 73,372,182,129/114,563
  6. Step 6: Final answer
    x = 640,452.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.