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Finding the Third Proportional to 144,815 and 319,099

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Solution

The third proportional to 144,815 and 319,099 is: 703,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,815 : 319,099 = 319,099 : x
  2. Step 2: Convert to fraction form
    144,815/319,099 = 319,099/x
  3. Step 3: Cross multiply
    144,815x = 319,099 × 319,099
  4. Step 4: Simplify right side
    144,815x = 101,824,171,801
  5. Step 5: Solve for x
    x = 101,824,171,801/144,815
  6. Step 6: Final answer
    x = 703,132.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.