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Finding the Third Proportional to 239,948 and 525,096

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Solution

The third proportional to 239,948 and 525,096 is: 1,149,106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,948 : 525,096 = 525,096 : x
  2. Step 2: Convert to fraction form
    239,948/525,096 = 525,096/x
  3. Step 3: Cross multiply
    239,948x = 525,096 × 525,096
  4. Step 4: Simplify right side
    239,948x = 275,725,809,216
  5. Step 5: Solve for x
    x = 275,725,809,216/239,948
  6. Step 6: Final answer
    x = 1,149,106.51

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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.