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Finding the Third Proportional to 148,928 and 324,160

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Solution

The third proportional to 148,928 and 324,160 is: 705,573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,928 : 324,160 = 324,160 : x
  2. Step 2: Convert to fraction form
    148,928/324,160 = 324,160/x
  3. Step 3: Cross multiply
    148,928x = 324,160 × 324,160
  4. Step 4: Simplify right side
    148,928x = 105,079,705,600
  5. Step 5: Solve for x
    x = 105,079,705,600/148,928
  6. Step 6: Final answer
    x = 705,573.87

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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.