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Finding the Third Proportional to 176,007 and 378,550.50

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Solution

The third proportional to 176,007 and 378,550.50 is: 814,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,007 : 378,550.50 = 378,550.50 : x
  2. Step 2: Convert to fraction form
    176,007/378,550.50 = 378,550.50/x
  3. Step 3: Cross multiply
    176,007x = 378,550.50 × 378,550.50
  4. Step 4: Simplify right side
    176,007x = 143,300,481,050.25
  5. Step 5: Solve for x
    x = 143,300,481,050.25/176,007
  6. Step 6: Final answer
    x = 814,174.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.