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Finding the Third Proportional to 198,296 and 432,696

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Solution

The third proportional to 198,296 and 432,696 is: 944,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,296 : 432,696 = 432,696 : x
  2. Step 2: Convert to fraction form
    198,296/432,696 = 432,696/x
  3. Step 3: Cross multiply
    198,296x = 432,696 × 432,696
  4. Step 4: Simplify right side
    198,296x = 187,225,828,416
  5. Step 5: Solve for x
    x = 187,225,828,416/198,296
  6. Step 6: Final answer
    x = 944,173.50

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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.