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Finding the Third Proportional to 239,942.25 and 525,082.50

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Solution

The third proportional to 239,942.25 and 525,082.50 is: 1,149,074.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,942.25 : 525,082.50 = 525,082.50 : x
  2. Step 2: Convert to fraction form
    239,942.25/525,082.50 = 525,082.50/x
  3. Step 3: Cross multiply
    239,942.25x = 525,082.50 × 525,082.50
  4. Step 4: Simplify right side
    239,942.25x = 275,711,631,806.25
  5. Step 5: Solve for x
    x = 275,711,631,806.25/239,942.25
  6. Step 6: Final answer
    x = 1,149,074.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.