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Finding the Third Proportional to 239,965.88 and 525,129.75

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Solution

The third proportional to 239,965.88 and 525,129.75 is: 1,149,168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,965.88 : 525,129.75 = 525,129.75 : x
  2. Step 2: Convert to fraction form
    239,965.88/525,129.75 = 525,129.75/x
  3. Step 3: Cross multiply
    239,965.88x = 525,129.75 × 525,129.75
  4. Step 4: Simplify right side
    239,965.88x = 275,761,254,335.06
  5. Step 5: Solve for x
    x = 275,761,254,335.06/239,965.88
  6. Step 6: Final answer
    x = 1,149,168.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.