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Finding the Third Proportional to 198,265.22 and 319,165.31

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Solution

The third proportional to 198,265.22 and 319,165.31 is: 513,789.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,265.22 : 319,165.31 = 319,165.31 : x
  2. Step 2: Convert to fraction form
    198,265.22/319,165.31 = 319,165.31/x
  3. Step 3: Cross multiply
    198,265.22x = 319,165.31 × 319,165.31
  4. Step 4: Simplify right side
    198,265.22x = 101,866,496,703.22
  5. Step 5: Solve for x
    x = 101,866,496,703.22/198,265.22
  6. Step 6: Final answer
    x = 513,789.04

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.