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Finding the Third Proportional to 143,522.88 and 308,984

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Solution

The third proportional to 143,522.88 and 308,984 is: 665,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,522.88 : 308,984 = 308,984 : x
  2. Step 2: Convert to fraction form
    143,522.88/308,984 = 308,984/x
  3. Step 3: Cross multiply
    143,522.88x = 308,984 × 308,984
  4. Step 4: Simplify right side
    143,522.88x = 95,471,112,256
  5. Step 5: Solve for x
    x = 95,471,112,256/143,522.88
  6. Step 6: Final answer
    x = 665,197.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.