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Finding the Third Proportional to 175,072.50 and 270,372.75

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Solution

The third proportional to 175,072.50 and 270,372.75 is: 417,549.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,072.50 : 270,372.75 = 270,372.75 : x
  2. Step 2: Convert to fraction form
    175,072.50/270,372.75 = 270,372.75/x
  3. Step 3: Cross multiply
    175,072.50x = 270,372.75 × 270,372.75
  4. Step 4: Simplify right side
    175,072.50x = 73,101,423,942.56
  5. Step 5: Solve for x
    x = 73,101,423,942.56/175,072.50
  6. Step 6: Final answer
    x = 417,549.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.