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Finding the Third Proportional to 198,850 and 301,166

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Solution

The third proportional to 198,850 and 301,166 is: 456,127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,850 : 301,166 = 301,166 : x
  2. Step 2: Convert to fraction form
    198,850/301,166 = 301,166/x
  3. Step 3: Cross multiply
    198,850x = 301,166 × 301,166
  4. Step 4: Simplify right side
    198,850x = 90,700,959,556
  5. Step 5: Solve for x
    x = 90,700,959,556/198,850
  6. Step 6: Final answer
    x = 456,127.53

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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.