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Finding the Third Proportional to 144,362.25 and 320,709.38

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Solution

The third proportional to 144,362.25 and 320,709.38 is: 712,475.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,362.25 : 320,709.38 = 320,709.38 : x
  2. Step 2: Convert to fraction form
    144,362.25/320,709.38 = 320,709.38/x
  3. Step 3: Cross multiply
    144,362.25x = 320,709.38 × 320,709.38
  4. Step 4: Simplify right side
    144,362.25x = 102,854,503,212.89
  5. Step 5: Solve for x
    x = 102,854,503,212.89/144,362.25
  6. Step 6: Final answer
    x = 712,475.06

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