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Finding the Third Proportional to 176,274.50 and 268,542.75

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Solution

The third proportional to 176,274.50 and 268,542.75 is: 409,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,274.50 : 268,542.75 = 268,542.75 : x
  2. Step 2: Convert to fraction form
    176,274.50/268,542.75 = 268,542.75/x
  3. Step 3: Cross multiply
    176,274.50x = 268,542.75 × 268,542.75
  4. Step 4: Simplify right side
    176,274.50x = 72,115,208,577.56
  5. Step 5: Solve for x
    x = 72,115,208,577.56/176,274.50
  6. Step 6: Final answer
    x = 409,107.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.