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Finding the Third Proportional to 197,352 and 432,198

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Solution

The third proportional to 197,352 and 432,198 is: 946,507.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,352 : 432,198 = 432,198 : x
  2. Step 2: Convert to fraction form
    197,352/432,198 = 432,198/x
  3. Step 3: Cross multiply
    197,352x = 432,198 × 432,198
  4. Step 4: Simplify right side
    197,352x = 186,795,111,204
  5. Step 5: Solve for x
    x = 186,795,111,204/197,352
  6. Step 6: Final answer
    x = 946,507.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.