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Finding the Third Proportional to 114,589.50 and 252,021

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Solution

The third proportional to 114,589.50 and 252,021 is: 554,279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,589.50 : 252,021 = 252,021 : x
  2. Step 2: Convert to fraction form
    114,589.50/252,021 = 252,021/x
  3. Step 3: Cross multiply
    114,589.50x = 252,021 × 252,021
  4. Step 4: Simplify right side
    114,589.50x = 63,514,584,441
  5. Step 5: Solve for x
    x = 63,514,584,441/114,589.50
  6. Step 6: Final answer
    x = 554,279.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.