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Finding the Third Proportional to 239,930.25 and 525,057.75

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Solution

The third proportional to 239,930.25 and 525,057.75 is: 1,149,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,930.25 : 525,057.75 = 525,057.75 : x
  2. Step 2: Convert to fraction form
    239,930.25/525,057.75 = 525,057.75/x
  3. Step 3: Cross multiply
    239,930.25x = 525,057.75 × 525,057.75
  4. Step 4: Simplify right side
    239,930.25x = 275,685,640,835.06
  5. Step 5: Solve for x
    x = 275,685,640,835.06/239,930.25
  6. Step 6: Final answer
    x = 1,149,024.11

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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.