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Finding the Third Proportional to 175,394.25 and 378,463.50

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Solution

The third proportional to 175,394.25 and 378,463.50 is: 816,643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,394.25 : 378,463.50 = 378,463.50 : x
  2. Step 2: Convert to fraction form
    175,394.25/378,463.50 = 378,463.50/x
  3. Step 3: Cross multiply
    175,394.25x = 378,463.50 × 378,463.50
  4. Step 4: Simplify right side
    175,394.25x = 143,234,620,832.25
  5. Step 5: Solve for x
    x = 143,234,620,832.25/175,394.25
  6. Step 6: Final answer
    x = 816,643.77

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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.