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Finding the Third Proportional to 177,507.56 and 242,512.88

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Solution

The third proportional to 177,507.56 and 242,512.88 is: 331,323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,507.56 : 242,512.88 = 242,512.88 : x
  2. Step 2: Convert to fraction form
    177,507.56/242,512.88 = 242,512.88/x
  3. Step 3: Cross multiply
    177,507.56x = 242,512.88 × 242,512.88
  4. Step 4: Simplify right side
    177,507.56x = 58,812,494,540.77
  5. Step 5: Solve for x
    x = 58,812,494,540.77/177,507.56
  6. Step 6: Final answer
    x = 331,323.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.