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Finding the Third Proportional to 144,344 and 226,732

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Solution

The third proportional to 144,344 and 226,732 is: 356,145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,344 : 226,732 = 226,732 : x
  2. Step 2: Convert to fraction form
    144,344/226,732 = 226,732/x
  3. Step 3: Cross multiply
    144,344x = 226,732 × 226,732
  4. Step 4: Simplify right side
    144,344x = 51,407,399,824
  5. Step 5: Solve for x
    x = 51,407,399,824/144,344
  6. Step 6: Final answer
    x = 356,145.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.