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Finding the Third Proportional to 198,846 and 301,164

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Solution

The third proportional to 198,846 and 301,164 is: 456,130.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,846 : 301,164 = 301,164 : x
  2. Step 2: Convert to fraction form
    198,846/301,164 = 301,164/x
  3. Step 3: Cross multiply
    198,846x = 301,164 × 301,164
  4. Step 4: Simplify right side
    198,846x = 90,699,754,896
  5. Step 5: Solve for x
    x = 90,699,754,896/198,846
  6. Step 6: Final answer
    x = 456,130.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.