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Finding the Third Proportional to 264,048 and 351,972

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Solution

The third proportional to 264,048 and 351,972 is: 469,173.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,048 : 351,972 = 351,972 : x
  2. Step 2: Convert to fraction form
    264,048/351,972 = 351,972/x
  3. Step 3: Cross multiply
    264,048x = 351,972 × 351,972
  4. Step 4: Simplify right side
    264,048x = 123,884,288,784
  5. Step 5: Solve for x
    x = 123,884,288,784/264,048
  6. Step 6: Final answer
    x = 469,173.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.