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Finding the Third Proportional to 178,956.75 and 242,173.13

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Solution

The third proportional to 178,956.75 and 242,173.13 is: 327,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,956.75 : 242,173.13 = 242,173.13 : x
  2. Step 2: Convert to fraction form
    178,956.75/242,173.13 = 242,173.13/x
  3. Step 3: Cross multiply
    178,956.75x = 242,173.13 × 242,173.13
  4. Step 4: Simplify right side
    178,956.75x = 58,647,822,472.27
  5. Step 5: Solve for x
    x = 58,647,822,472.27/178,956.75
  6. Step 6: Final answer
    x = 327,720.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.