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Finding the Third Proportional to 198,672 and 432,384

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Solution

The third proportional to 198,672 and 432,384 is: 941,028.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,672 : 432,384 = 432,384 : x
  2. Step 2: Convert to fraction form
    198,672/432,384 = 432,384/x
  3. Step 3: Cross multiply
    198,672x = 432,384 × 432,384
  4. Step 4: Simplify right side
    198,672x = 186,955,923,456
  5. Step 5: Solve for x
    x = 186,955,923,456/198,672
  6. Step 6: Final answer
    x = 941,028.04

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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.