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Finding the Third Proportional to 178,792.50 and 372,285.75

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Solution

The third proportional to 178,792.50 and 372,285.75 is: 775,181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,792.50 : 372,285.75 = 372,285.75 : x
  2. Step 2: Convert to fraction form
    178,792.50/372,285.75 = 372,285.75/x
  3. Step 3: Cross multiply
    178,792.50x = 372,285.75 × 372,285.75
  4. Step 4: Simplify right side
    178,792.50x = 138,596,679,653.06
  5. Step 5: Solve for x
    x = 138,596,679,653.06/178,792.50
  6. Step 6: Final answer
    x = 775,181.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.