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Finding the Third Proportional to 148,041 and 325,606.50

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Solution

The third proportional to 148,041 and 325,606.50 is: 716,150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,041 : 325,606.50 = 325,606.50 : x
  2. Step 2: Convert to fraction form
    148,041/325,606.50 = 325,606.50/x
  3. Step 3: Cross multiply
    148,041x = 325,606.50 × 325,606.50
  4. Step 4: Simplify right side
    148,041x = 106,019,592,842.25
  5. Step 5: Solve for x
    x = 106,019,592,842.25/148,041
  6. Step 6: Final answer
    x = 716,150.21

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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.