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Finding the Third Proportional to 175,318.80 and 378,316.83

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Solution

The third proportional to 175,318.80 and 378,316.83 is: 816,362.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,318.80 : 378,316.83 = 378,316.83 : x
  2. Step 2: Convert to fraction form
    175,318.80/378,316.83 = 378,316.83/x
  3. Step 3: Cross multiply
    175,318.80x = 378,316.83 × 378,316.83
  4. Step 4: Simplify right side
    175,318.80x = 143,123,622,442.56
  5. Step 5: Solve for x
    x = 143,123,622,442.56/175,318.80
  6. Step 6: Final answer
    x = 816,362.07

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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.