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Finding the Third Proportional to 149,734.13 and 324,384.75

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Solution

The third proportional to 149,734.13 and 324,384.75 is: 702,748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,734.13 : 324,384.75 = 324,384.75 : x
  2. Step 2: Convert to fraction form
    149,734.13/324,384.75 = 324,384.75/x
  3. Step 3: Cross multiply
    149,734.13x = 324,384.75 × 324,384.75
  4. Step 4: Simplify right side
    149,734.13x = 105,225,466,032.56
  5. Step 5: Solve for x
    x = 105,225,466,032.56/149,734.13
  6. Step 6: Final answer
    x = 702,748.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.