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Finding the Third Proportional to 239,961 and 525,121

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Solution

The third proportional to 239,961 and 525,121 is: 1,149,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,961 : 525,121 = 525,121 : x
  2. Step 2: Convert to fraction form
    239,961/525,121 = 525,121/x
  3. Step 3: Cross multiply
    239,961x = 525,121 × 525,121
  4. Step 4: Simplify right side
    239,961x = 275,752,064,641
  5. Step 5: Solve for x
    x = 275,752,064,641/239,961
  6. Step 6: Final answer
    x = 1,149,153.67

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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.