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Finding the Third Proportional to 207,165.50 and 323,340

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Solution

The third proportional to 207,165.50 and 323,340 is: 504,662.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,165.50 : 323,340 = 323,340 : x
  2. Step 2: Convert to fraction form
    207,165.50/323,340 = 323,340/x
  3. Step 3: Cross multiply
    207,165.50x = 323,340 × 323,340
  4. Step 4: Simplify right side
    207,165.50x = 104,548,755,600
  5. Step 5: Solve for x
    x = 104,548,755,600/207,165.50
  6. Step 6: Final answer
    x = 504,662.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.