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Finding the Third Proportional to 198,144 and 432,504

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Solution

The third proportional to 198,144 and 432,504 is: 944,059.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,144 : 432,504 = 432,504 : x
  2. Step 2: Convert to fraction form
    198,144/432,504 = 432,504/x
  3. Step 3: Cross multiply
    198,144x = 432,504 × 432,504
  4. Step 4: Simplify right side
    198,144x = 187,059,710,016
  5. Step 5: Solve for x
    x = 187,059,710,016/198,144
  6. Step 6: Final answer
    x = 944,059.42

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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.