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Finding the Third Proportional to 144,296 and 319,732

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Solution

The third proportional to 144,296 and 319,732 is: 708,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,296 : 319,732 = 319,732 : x
  2. Step 2: Convert to fraction form
    144,296/319,732 = 319,732/x
  3. Step 3: Cross multiply
    144,296x = 319,732 × 319,732
  4. Step 4: Simplify right side
    144,296x = 102,228,551,824
  5. Step 5: Solve for x
    x = 102,228,551,824/144,296
  6. Step 6: Final answer
    x = 708,464.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.