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Finding the Third Proportional to 70,297.50 and 165,939.75

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Solution

The third proportional to 70,297.50 and 165,939.75 is: 391,706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,297.50 : 165,939.75 = 165,939.75 : x
  2. Step 2: Convert to fraction form
    70,297.50/165,939.75 = 165,939.75/x
  3. Step 3: Cross multiply
    70,297.50x = 165,939.75 × 165,939.75
  4. Step 4: Simplify right side
    70,297.50x = 27,536,000,630.06
  5. Step 5: Solve for x
    x = 27,536,000,630.06/70,297.50
  6. Step 6: Final answer
    x = 391,706.68

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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.