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Finding the Third Proportional to 198,008 and 325,059

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Solution

The third proportional to 198,008 and 325,059 is: 533,631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,008 : 325,059 = 325,059 : x
  2. Step 2: Convert to fraction form
    198,008/325,059 = 325,059/x
  3. Step 3: Cross multiply
    198,008x = 325,059 × 325,059
  4. Step 4: Simplify right side
    198,008x = 105,663,353,481
  5. Step 5: Solve for x
    x = 105,663,353,481/198,008
  6. Step 6: Final answer
    x = 533,631.74

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.