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Finding the Third Proportional to 251,772.75 and 384,233.63

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Solution

The third proportional to 251,772.75 and 384,233.63 is: 586,383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,772.75 : 384,233.63 = 384,233.63 : x
  2. Step 2: Convert to fraction form
    251,772.75/384,233.63 = 384,233.63/x
  3. Step 3: Cross multiply
    251,772.75x = 384,233.63 × 384,233.63
  4. Step 4: Simplify right side
    251,772.75x = 147,635,478,580.64
  5. Step 5: Solve for x
    x = 147,635,478,580.64/251,772.75
  6. Step 6: Final answer
    x = 586,383.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.