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Finding the Third Proportional to 197,390 and 434,146

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Solution

The third proportional to 197,390 and 434,146 is: 954,874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,390 : 434,146 = 434,146 : x
  2. Step 2: Convert to fraction form
    197,390/434,146 = 434,146/x
  3. Step 3: Cross multiply
    197,390x = 434,146 × 434,146
  4. Step 4: Simplify right side
    197,390x = 188,482,749,316
  5. Step 5: Solve for x
    x = 188,482,749,316/197,390
  6. Step 6: Final answer
    x = 954,874.86

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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.