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Finding the Third Proportional to 239,962.50 and 525,121.31

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Solution

The third proportional to 239,962.50 and 525,121.31 is: 1,149,147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,962.50 : 525,121.31 = 525,121.31 : x
  2. Step 2: Convert to fraction form
    239,962.50/525,121.31 = 525,121.31/x
  3. Step 3: Cross multiply
    239,962.50x = 525,121.31 × 525,121.31
  4. Step 4: Simplify right side
    239,962.50x = 275,752,392,841.72
  5. Step 5: Solve for x
    x = 275,752,392,841.72/239,962.50
  6. Step 6: Final answer
    x = 1,149,147.86

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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.