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Finding the Third Proportional to 198,842 and 301,159

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Solution

The third proportional to 198,842 and 301,159 is: 456,124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,842 : 301,159 = 301,159 : x
  2. Step 2: Convert to fraction form
    198,842/301,159 = 301,159/x
  3. Step 3: Cross multiply
    198,842x = 301,159 × 301,159
  4. Step 4: Simplify right side
    198,842x = 90,696,743,281
  5. Step 5: Solve for x
    x = 90,696,743,281/198,842
  6. Step 6: Final answer
    x = 456,124.68

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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.