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Finding the Third Proportional to 197,698 and 434,750

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Solution

The third proportional to 197,698 and 434,750 is: 956,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,698 : 434,750 = 434,750 : x
  2. Step 2: Convert to fraction form
    197,698/434,750 = 434,750/x
  3. Step 3: Cross multiply
    197,698x = 434,750 × 434,750
  4. Step 4: Simplify right side
    197,698x = 189,007,562,500
  5. Step 5: Solve for x
    x = 189,007,562,500/197,698
  6. Step 6: Final answer
    x = 956,041.85

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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.