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Finding the Third Proportional to 203,602 and 317,036

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Solution

The third proportional to 203,602 and 317,036 is: 493,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,602 : 317,036 = 317,036 : x
  2. Step 2: Convert to fraction form
    203,602/317,036 = 317,036/x
  3. Step 3: Cross multiply
    203,602x = 317,036 × 317,036
  4. Step 4: Simplify right side
    203,602x = 100,511,825,296
  5. Step 5: Solve for x
    x = 100,511,825,296/203,602
  6. Step 6: Final answer
    x = 493,668.16

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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.