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Finding the Third Proportional to 198,576 and 432,096

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Solution

The third proportional to 198,576 and 432,096 is: 940,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,576 : 432,096 = 432,096 : x
  2. Step 2: Convert to fraction form
    198,576/432,096 = 432,096/x
  3. Step 3: Cross multiply
    198,576x = 432,096 × 432,096
  4. Step 4: Simplify right side
    198,576x = 186,706,953,216
  5. Step 5: Solve for x
    x = 186,706,953,216/198,576
  6. Step 6: Final answer
    x = 940,229.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.