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Finding the Third Proportional to 197,077 and 300,536

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Solution

The third proportional to 197,077 and 300,536 is: 458,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,077 : 300,536 = 300,536 : x
  2. Step 2: Convert to fraction form
    197,077/300,536 = 300,536/x
  3. Step 3: Cross multiply
    197,077x = 300,536 × 300,536
  4. Step 4: Simplify right side
    197,077x = 90,321,887,296
  5. Step 5: Solve for x
    x = 90,321,887,296/197,077
  6. Step 6: Final answer
    x = 458,307.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.