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Finding the Third Proportional to 133,046 and 198,992

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Solution

The third proportional to 133,046 and 198,992 is: 297,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,046 : 198,992 = 198,992 : x
  2. Step 2: Convert to fraction form
    133,046/198,992 = 198,992/x
  3. Step 3: Cross multiply
    133,046x = 198,992 × 198,992
  4. Step 4: Simplify right side
    133,046x = 39,597,816,064
  5. Step 5: Solve for x
    x = 39,597,816,064/133,046
  6. Step 6: Final answer
    x = 297,625.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.