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Finding the Third Proportional to 193,894.50 and 291,046.50

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Solution

The third proportional to 193,894.50 and 291,046.50 is: 436,877.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,894.50 : 291,046.50 = 291,046.50 : x
  2. Step 2: Convert to fraction form
    193,894.50/291,046.50 = 291,046.50/x
  3. Step 3: Cross multiply
    193,894.50x = 291,046.50 × 291,046.50
  4. Step 4: Simplify right side
    193,894.50x = 84,708,065,162.25
  5. Step 5: Solve for x
    x = 84,708,065,162.25/193,894.50
  6. Step 6: Final answer
    x = 436,877.09

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