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Finding the Third Proportional to 203,593.50 and 317,024.25

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Solution

The third proportional to 203,593.50 and 317,024.25 is: 493,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,593.50 : 317,024.25 = 317,024.25 : x
  2. Step 2: Convert to fraction form
    203,593.50/317,024.25 = 317,024.25/x
  3. Step 3: Cross multiply
    203,593.50x = 317,024.25 × 317,024.25
  4. Step 4: Simplify right side
    203,593.50x = 100,504,375,088.06
  5. Step 5: Solve for x
    x = 100,504,375,088.06/203,593.50
  6. Step 6: Final answer
    x = 493,652.18

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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.