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Finding the Third Proportional to 203,097 and 317,605.50

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Solution

The third proportional to 203,097 and 317,605.50 is: 496,675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,097 : 317,605.50 = 317,605.50 : x
  2. Step 2: Convert to fraction form
    203,097/317,605.50 = 317,605.50/x
  3. Step 3: Cross multiply
    203,097x = 317,605.50 × 317,605.50
  4. Step 4: Simplify right side
    203,097x = 100,873,253,630.25
  5. Step 5: Solve for x
    x = 100,873,253,630.25/203,097
  6. Step 6: Final answer
    x = 496,675.25

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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.