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Finding the Third Proportional to 144,416 and 327,983

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Solution

The third proportional to 144,416 and 327,983 is: 744,881.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,416 : 327,983 = 327,983 : x
  2. Step 2: Convert to fraction form
    144,416/327,983 = 327,983/x
  3. Step 3: Cross multiply
    144,416x = 327,983 × 327,983
  4. Step 4: Simplify right side
    144,416x = 107,572,848,289
  5. Step 5: Solve for x
    x = 107,572,848,289/144,416
  6. Step 6: Final answer
    x = 744,881.79

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.