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Finding the Third Proportional to 176,013 and 270,661.50

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Solution

The third proportional to 176,013 and 270,661.50 is: 416,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,013 : 270,661.50 = 270,661.50 : x
  2. Step 2: Convert to fraction form
    176,013/270,661.50 = 270,661.50/x
  3. Step 3: Cross multiply
    176,013x = 270,661.50 × 270,661.50
  4. Step 4: Simplify right side
    176,013x = 73,257,647,582.25
  5. Step 5: Solve for x
    x = 73,257,647,582.25/176,013
  6. Step 6: Final answer
    x = 416,205.89

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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.