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Finding the Third Proportional to 148,881.25 and 324,530.75

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Solution

The third proportional to 148,881.25 and 324,530.75 is: 707,410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,881.25 : 324,530.75 = 324,530.75 : x
  2. Step 2: Convert to fraction form
    148,881.25/324,530.75 = 324,530.75/x
  3. Step 3: Cross multiply
    148,881.25x = 324,530.75 × 324,530.75
  4. Step 4: Simplify right side
    148,881.25x = 105,320,207,695.56
  5. Step 5: Solve for x
    x = 105,320,207,695.56/148,881.25
  6. Step 6: Final answer
    x = 707,410.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.