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Finding the Third Proportional to 193,590.75 and 415,197.75

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Solution

The third proportional to 193,590.75 and 415,197.75 is: 890,482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,590.75 : 415,197.75 = 415,197.75 : x
  2. Step 2: Convert to fraction form
    193,590.75/415,197.75 = 415,197.75/x
  3. Step 3: Cross multiply
    193,590.75x = 415,197.75 × 415,197.75
  4. Step 4: Simplify right side
    193,590.75x = 172,389,171,605.06
  5. Step 5: Solve for x
    x = 172,389,171,605.06/193,590.75
  6. Step 6: Final answer
    x = 890,482.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.