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Finding the Third Proportional to 116,940 and 252,588.75

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Solution

The third proportional to 116,940 and 252,588.75 is: 545,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,940 : 252,588.75 = 252,588.75 : x
  2. Step 2: Convert to fraction form
    116,940/252,588.75 = 252,588.75/x
  3. Step 3: Cross multiply
    116,940x = 252,588.75 × 252,588.75
  4. Step 4: Simplify right side
    116,940x = 63,801,076,626.56
  5. Step 5: Solve for x
    x = 63,801,076,626.56/116,940
  6. Step 6: Final answer
    x = 545,588.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.