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Finding the Third Proportional to 264,521.25 and 378,114.75

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Solution

The third proportional to 264,521.25 and 378,114.75 is: 540,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,521.25 : 378,114.75 = 378,114.75 : x
  2. Step 2: Convert to fraction form
    264,521.25/378,114.75 = 378,114.75/x
  3. Step 3: Cross multiply
    264,521.25x = 378,114.75 × 378,114.75
  4. Step 4: Simplify right side
    264,521.25x = 142,970,764,167.56
  5. Step 5: Solve for x
    x = 142,970,764,167.56/264,521.25
  6. Step 6: Final answer
    x = 540,488.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.