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Finding the Third Proportional to 197,394 and 434,154

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Solution

The third proportional to 197,394 and 434,154 is: 954,890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,394 : 434,154 = 434,154 : x
  2. Step 2: Convert to fraction form
    197,394/434,154 = 434,154/x
  3. Step 3: Cross multiply
    197,394x = 434,154 × 434,154
  4. Step 4: Simplify right side
    197,394x = 188,489,695,716
  5. Step 5: Solve for x
    x = 188,489,695,716/197,394
  6. Step 6: Final answer
    x = 954,890.70

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Why These Related Problems?

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