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Finding the Third Proportional to 148,061.25 and 325,640.25

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Solution

The third proportional to 148,061.25 and 325,640.25 is: 716,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,061.25 : 325,640.25 = 325,640.25 : x
  2. Step 2: Convert to fraction form
    148,061.25/325,640.25 = 325,640.25/x
  3. Step 3: Cross multiply
    148,061.25x = 325,640.25 × 325,640.25
  4. Step 4: Simplify right side
    148,061.25x = 106,041,572,420.06
  5. Step 5: Solve for x
    x = 106,041,572,420.06/148,061.25
  6. Step 6: Final answer
    x = 716,200.71

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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.