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Finding the Third Proportional to 198,546 and 428,196

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Solution

The third proportional to 198,546 and 428,196 is: 923,472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,546 : 428,196 = 428,196 : x
  2. Step 2: Convert to fraction form
    198,546/428,196 = 428,196/x
  3. Step 3: Cross multiply
    198,546x = 428,196 × 428,196
  4. Step 4: Simplify right side
    198,546x = 183,351,814,416
  5. Step 5: Solve for x
    x = 183,351,814,416/198,546
  6. Step 6: Final answer
    x = 923,472.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.