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Finding the Third Proportional to 178,548.75 and 276,693.75

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Solution

The third proportional to 178,548.75 and 276,693.75 is: 428,787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,548.75 : 276,693.75 = 276,693.75 : x
  2. Step 2: Convert to fraction form
    178,548.75/276,693.75 = 276,693.75/x
  3. Step 3: Cross multiply
    178,548.75x = 276,693.75 × 276,693.75
  4. Step 4: Simplify right side
    178,548.75x = 76,559,431,289.06
  5. Step 5: Solve for x
    x = 76,559,431,289.06/178,548.75
  6. Step 6: Final answer
    x = 428,787.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.