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Finding the Third Proportional to 175,313.25 and 378,662.63

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Solution

The third proportional to 175,313.25 and 378,662.63 is: 817,881.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,313.25 : 378,662.63 = 378,662.63 : x
  2. Step 2: Convert to fraction form
    175,313.25/378,662.63 = 378,662.63/x
  3. Step 3: Cross multiply
    175,313.25x = 378,662.63 × 378,662.63
  4. Step 4: Simplify right side
    175,313.25x = 143,385,383,571.89
  5. Step 5: Solve for x
    x = 143,385,383,571.89/175,313.25
  6. Step 6: Final answer
    x = 817,881.04

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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.