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Finding the Third Proportional to 148,176 and 325,896

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Solution

The third proportional to 148,176 and 325,896 is: 716,770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,176 : 325,896 = 325,896 : x
  2. Step 2: Convert to fraction form
    148,176/325,896 = 325,896/x
  3. Step 3: Cross multiply
    148,176x = 325,896 × 325,896
  4. Step 4: Simplify right side
    148,176x = 106,208,202,816
  5. Step 5: Solve for x
    x = 106,208,202,816/148,176
  6. Step 6: Final answer
    x = 716,770.62

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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.