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Finding the Third Proportional to 197,651 and 434,662

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Solution

The third proportional to 197,651 and 434,662 is: 955,882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,651 : 434,662 = 434,662 : x
  2. Step 2: Convert to fraction form
    197,651/434,662 = 434,662/x
  3. Step 3: Cross multiply
    197,651x = 434,662 × 434,662
  4. Step 4: Simplify right side
    197,651x = 188,931,054,244
  5. Step 5: Solve for x
    x = 188,931,054,244/197,651
  6. Step 6: Final answer
    x = 955,882.11

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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.