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Finding the Third Proportional to 231,769.50 and 297,168

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Solution

The third proportional to 231,769.50 and 297,168 is: 381,020.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,769.50 : 297,168 = 297,168 : x
  2. Step 2: Convert to fraction form
    231,769.50/297,168 = 297,168/x
  3. Step 3: Cross multiply
    231,769.50x = 297,168 × 297,168
  4. Step 4: Simplify right side
    231,769.50x = 88,308,820,224
  5. Step 5: Solve for x
    x = 88,308,820,224/231,769.50
  6. Step 6: Final answer
    x = 381,020.02

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.