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Finding the Third Proportional to 203,257.50 and 306,384.75

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Solution

The third proportional to 203,257.50 and 306,384.75 is: 461,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,257.50 : 306,384.75 = 306,384.75 : x
  2. Step 2: Convert to fraction form
    203,257.50/306,384.75 = 306,384.75/x
  3. Step 3: Cross multiply
    203,257.50x = 306,384.75 × 306,384.75
  4. Step 4: Simplify right side
    203,257.50x = 93,871,615,032.56
  5. Step 5: Solve for x
    x = 93,871,615,032.56/203,257.50
  6. Step 6: Final answer
    x = 461,835.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.