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Finding the Third Proportional to 198,194 and 435,748

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Solution

The third proportional to 198,194 and 435,748 is: 958,032.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,194 : 435,748 = 435,748 : x
  2. Step 2: Convert to fraction form
    198,194/435,748 = 435,748/x
  3. Step 3: Cross multiply
    198,194x = 435,748 × 435,748
  4. Step 4: Simplify right side
    198,194x = 189,876,319,504
  5. Step 5: Solve for x
    x = 189,876,319,504/198,194
  6. Step 6: Final answer
    x = 958,032.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.