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Finding the Third Proportional to 193,232.50 and 306,642.75

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Solution

The third proportional to 193,232.50 and 306,642.75 is: 486,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,232.50 : 306,642.75 = 306,642.75 : x
  2. Step 2: Convert to fraction form
    193,232.50/306,642.75 = 306,642.75/x
  3. Step 3: Cross multiply
    193,232.50x = 306,642.75 × 306,642.75
  4. Step 4: Simplify right side
    193,232.50x = 94,029,776,127.56
  5. Step 5: Solve for x
    x = 94,029,776,127.56/193,232.50
  6. Step 6: Final answer
    x = 486,614.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.