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Finding the Third Proportional to 239,962 and 525,122

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Solution

The third proportional to 239,962 and 525,122 is: 1,149,153.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,962 : 525,122 = 525,122 : x
  2. Step 2: Convert to fraction form
    239,962/525,122 = 525,122/x
  3. Step 3: Cross multiply
    239,962x = 525,122 × 525,122
  4. Step 4: Simplify right side
    239,962x = 275,753,114,884
  5. Step 5: Solve for x
    x = 275,753,114,884/239,962
  6. Step 6: Final answer
    x = 1,149,153.26

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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.