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Finding the Third Proportional to 198,841 and 301,157

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Solution

The third proportional to 198,841 and 301,157 is: 456,120.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,841 : 301,157 = 301,157 : x
  2. Step 2: Convert to fraction form
    198,841/301,157 = 301,157/x
  3. Step 3: Cross multiply
    198,841x = 301,157 × 301,157
  4. Step 4: Simplify right side
    198,841x = 90,695,538,649
  5. Step 5: Solve for x
    x = 90,695,538,649/198,841
  6. Step 6: Final answer
    x = 456,120.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.