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Finding the Third Proportional to 166,956.50 and 393,718

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Solution

The third proportional to 166,956.50 and 393,718 is: 928,468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,956.50 : 393,718 = 393,718 : x
  2. Step 2: Convert to fraction form
    166,956.50/393,718 = 393,718/x
  3. Step 3: Cross multiply
    166,956.50x = 393,718 × 393,718
  4. Step 4: Simplify right side
    166,956.50x = 155,013,863,524
  5. Step 5: Solve for x
    x = 155,013,863,524/166,956.50
  6. Step 6: Final answer
    x = 928,468.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.